970352400 has 60 divisors (see below), whose sum is σ = 3108366032. Its totient is φ = 258760320.

The previous prime is 970352387. The next prime is 970352407. The reversal of 970352400 is 4253079.

970352400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (970352407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403114 + ... + 405513.

Almost surely, 2^970352400 is an apocalyptic number.

It is an amenable number.

970352400 is an abundant number, since it is smaller than the sum of its proper divisors (2138013632).

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

970352400 is a wasteful number, since it uses less digits than its factorization.

970352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808648 (or 808637 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 970352400 is about 31150.4799320974. The cubic root of 970352400 is about 990.0181610789.

The spelling of 970352400 in words is "nine hundred seventy million, three hundred fifty-two thousand, four hundred".