1057054464 has 54 divisors (see below), whose sum is σ = 3047755256. Its totient is φ = 352350720.

The previous prime is 1057054429. The next prime is 1057054469. The reversal of 1057054464 is 4644507501.

1057054464 is a `hidden beast` number, since 1 + 0 + 57 + 0 + 544 + 64 = 666.

It is a super-2 number, since 2×1057054464² = 2234728279724654592, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057054469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227092 + ... + 231699.

Almost surely, 2^1057054464 is an apocalyptic number.

It is an amenable number.

1057054464 is an abundant number, since it is smaller than the sum of its proper divisors (1990700792).

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

1057054464 is an equidigital number, since it uses as much as digits as its factorization.

1057054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458813 (or 458796 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1057054464 is about 32512.3740135967. The cubic root of 1057054464 is about 1018.6675103319.

The spelling of 1057054464 in words is "one billion, fifty-seven million, fifty-four thousand, four hundred sixty-four".