957048048 has 300 divisors, whose sum is σ = 3232761840. Its totient is φ = 272194560.

The previous prime is 957048041. The next prime is 957048049. The reversal of 957048048 is 840840759.

It is a super-2 number, since 2×957048048² = 1831881932361220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 957047994 and 957048012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957048041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2665693 + ... + 2666051.

Almost surely, 2^957048048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957048048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616380920).

957048048 is an abundant number, since it is smaller than the sum of its proper divisors (2275713792).

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

957048048 is a wasteful number, since it uses less digits than its factorization.

957048048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 957048048 is about 30936.1931723992. The cubic root of 957048048 is about 985.4726610571.

The spelling of 957048048 in words is "nine hundred fifty-seven million, forty-eight thousand, forty-eight".