970499200 has 192 divisors, whose sum is σ = 2656080000. Its totient is φ = 347443200.

The previous prime is 970499177. The next prime is 970499209. The reversal of 970499200 is 2994079.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (970499209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780626 + ... + 2780974.

It is an arithmetic number, because the mean of its divisors is an integer number (13833750).

Almost surely, 2^970499200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040000).

970499200 is an abundant number, since it is smaller than the sum of its proper divisors (1685580800).

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

970499200 is a wasteful number, since it uses less digits than its factorization.

970499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 970499200 is about 31152.8361469706. The cubic root of 970499200 is about 990.0680836080.

The spelling of 970499200 in words is "nine hundred seventy million, four hundred ninety-nine thousand, two hundred".