957464820 has 384 divisors, whose sum is σ = 3474938880. Its totient is φ = 216760320.

The previous prime is 957464747. The next prime is 957464863. The reversal of 957464820 is 28464759.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8473084 + ... + 8473196.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^957464820 is an apocalyptic number.

957464820 is a gapful number since it is divisible by the number (90) 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 957464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

957464820 is an abundant number, since it is smaller than the sum of its proper divisors (2517474060).

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

957464820 is a wasteful number, since it uses less digits than its factorization.

957464820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 957464820 is about 30942.9284328423. The cubic root of 957464820 is about 985.6156903815.

The spelling of 957464820 in words is "nine hundred fifty-seven million, four hundred sixty-four thousand, eight hundred twenty".