1054448640 has 396 divisors, whose sum is σ = 4259250216. Its totient is φ = 240500736.

The previous prime is 1054448617. The next prime is 1054448651. The reversal of 1054448640 is 468444501.

It is a happy number.

1054448640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 4 + 8 + 640 = 666.

It is a super-2 number, since 2×1054448640² = 2223723868795699200, which contains 22 as substring.

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 = 1054448595 and 1054448604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257687 + ... + 2258153.

Almost surely, 2^1054448640 is an apocalyptic number.

1054448640 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 1054448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129625108).

1054448640 is an abundant number, since it is smaller than the sum of its proper divisors (3204801576).

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

1054448640 is a wasteful number, since it uses less digits than its factorization.

1054448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1054448640 is about 32472.2749434036. The cubic root of 1054448640 is about 1017.8297570682.

The spelling of 1054448640 in words is "one billion, fifty-four million, four hundred forty-eight thousand, six hundred forty".