972574240 has 96 divisors (see below), whose sum is σ = 2547961920. Its totient is φ = 347827200.

The previous prime is 972574237. The next prime is 972574277. The reversal of 972574240 is 42475279.

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

It is a junction number, because it is equal to n+sod(n) for n = 972574193 and 972574202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102831 + ... + 111889.

It is an arithmetic number, because the mean of its divisors is an integer number (26541270).

Almost surely, 2^972574240 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 972574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273980960).

972574240 is an abundant number, since it is smaller than the sum of its proper divisors (1575387680).

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

972574240 is a wasteful number, since it uses less digits than its factorization.

972574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 972574240 is about 31186.1225547518. The cubic root of 972574240 is about 990.7732081491.

The spelling of 972574240 in words is "nine hundred seventy-two million, five hundred seventy-four thousand, two hundred forty".