1057973952 has 224 divisors, whose sum is σ = 3360440320. Its totient is φ = 287400960.

The previous prime is 1057973933. The next prime is 1057973977. The reversal of 1057973952 is 2593797501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1057973952² = 2238617766220996608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2791299 + ... + 2791677.

Almost surely, 2^1057973952 is an apocalyptic number.

1057973952 is a gapful number since it is divisible by the number (12) 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 1057973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680220160).

1057973952 is an abundant number, since it is smaller than the sum of its proper divisors (2302466368).

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

1057973952 is a wasteful number, since it uses less digits than its factorization.

1057973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 1057973952 is about 32526.5115252159. The cubic root of 1057973952 is about 1018.9627903229.

The spelling of 1057973952 in words is "one billion, fifty-seven million, nine hundred seventy-three thousand, nine hundred fifty-two".