972491520 has 864 divisors, whose sum is σ = 4384429056. Its totient is φ = 178421760.

The previous prime is 972491503. The next prime is 972491537. The reversal of 972491520 is 25194279.

It is an interprime number because it is at equal distance from previous prime (972491503) and next prime (972491537).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42282229 + ... + 42282251.

Almost surely, 2^972491520 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 972491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192214528).

972491520 is an abundant number, since it is smaller than the sum of its proper divisors (3411937536).

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

972491520 is a wasteful number, since it uses less digits than its factorization.

972491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 972491520 is about 31184.7962956310. The cubic root of 972491520 is about 990.7451180626.

The spelling of 972491520 in words is "nine hundred seventy-two million, four hundred ninety-one thousand, five hundred twenty".