957420000 has 360 divisors, whose sum is σ = 3546158616. Its totient is φ = 254016000.

The previous prime is 957419999. The next prime is 957420001. The reversal of 957420000 is 24759.

It is an interprime number because it is at equal distance from previous prime (957419999) and next prime (957420001).

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4859902 + ... + 4860098.

Almost surely, 2^957420000 is an apocalyptic number.

957420000 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 957420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773079308).

957420000 is an abundant number, since it is smaller than the sum of its proper divisors (2588738616).

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

957420000 is an equidigital number, since it uses as much as digits as its factorization.

957420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 957420000 is about 30942.2041878080. The cubic root of 957420000 is about 985.6003108836.

Adding to 957420000 its reverse (24759), we get a palindrome (957444759).

The spelling of 957420000 in words is "nine hundred fifty-seven million, four hundred twenty thousand".