970268400 has 90 divisors (see below), whose sum is σ = 3367113360. Its totient is φ = 258737280.

The previous prime is 970268347. The next prime is 970268401. The reversal of 970268400 is 4862079.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970268401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131160 + ... + 138359.

Almost surely, 2^970268400 is an apocalyptic number.

970268400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970268400 is an abundant number, since it is smaller than the sum of its proper divisors (2396844960).

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

970268400 is a wasteful number, since it uses less digits than its factorization.

970268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269543 (or 269529 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 970268400 is about 31149.1316090834. The cubic root of 970268400 is about 989.9895927893.

The spelling of 970268400 in words is "nine hundred seventy million, two hundred sixty-eight thousand, four hundred".