1053046440 has 256 divisors, whose sum is σ = 3682713600. Its totient is φ = 267321600.

The previous prime is 1053046433. The next prime is 1053046457. The reversal of 1053046440 is 446403501.

1053046440 is a `hidden beast` number, since 10 + 5 + 3 + 0 + 4 + 644 + 0 = 666.

1053046440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053046440² = 2217813609593347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2376859 + ... + 2377301.

It is an arithmetic number, because the mean of its divisors is an integer number (14385600).

Almost surely, 2^1053046440 is an apocalyptic number.

1053046440 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 1053046440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841356800).

1053046440 is an abundant number, since it is smaller than the sum of its proper divisors (2629667160).

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

1053046440 is a wasteful number, since it uses less digits than its factorization.

1053046440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1053046440 is about 32450.6770345397. The cubic root of 1053046440 is about 1017.3783887964.

Adding to 1053046440 its reverse (446403501), we get a palindrome (1499449941).

The spelling of 1053046440 in words is "one billion, fifty-three million, forty-six thousand, four hundred forty".