1054495440 has 180 divisors, whose sum is σ = 3738464964. Its totient is φ = 266333184.

The previous prime is 1054495381. The next prime is 1054495447. The reversal of 1054495440 is 445944501.

1054495440 is a `hidden beast` number, since 105 + 4 + 4 + 9 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 459330624 + 595164816 = 21432^2 + 24396^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1054495440² = 2223921265961587200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1054495395 and 1054495404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054495447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257892 + ... + 261948.

Almost surely, 2^1054495440 is an apocalyptic number.

1054495440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869232482).

1054495440 is an abundant number, since it is smaller than the sum of its proper divisors (2683969524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054495440 is a wasteful number, since it uses less digits than its factorization.

1054495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1054495440 is about 32472.9955501490. The cubic root of 1054495440 is about 1017.8448150888.

It can be divided in two parts, 105449 and 5440, that added together give a square (110889 = 333²).

The spelling of 1054495440 in words is "one billion, fifty-four million, four hundred ninety-five thousand, four hundred forty".