957420 has 72 divisors (see below), whose sum is σ = 3027024. Its totient is φ = 254016.

The previous prime is 957419. The next prime is 957431. The reversal of 957420 is 24759.

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 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 23 ways as a sum of consecutive naturals, for example, 4762 + ... + 4958.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2⁹⁵⁷⁴²⁰ is an apocalyptic number.

957420 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 957420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513512).

957420 is an abundant number, since it is smaller than the sum of its proper divisors (2069604).

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

957420 is a wasteful number, since it uses less digits than its factorization.

957420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

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

The square root of 957420 is about 978.4784105947. The cubic root of 957420 is about 98.5600310884.

The spelling of 957420 in words is "nine hundred fifty-seven thousand, four hundred twenty".