972467592 has 64 divisors (see below), whose sum is σ = 2599776000. Its totient is φ = 302054400.

The previous prime is 972467579. The next prime is 972467593. The reversal of 972467592 is 295764279.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (972467593) 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 15 ways as a sum of consecutive naturals, for example, 29409 + ... + 53007.

It is an arithmetic number, because the mean of its divisors is an integer number (40621500).

Almost surely, 2^972467592 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 972467592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299888000).

972467592 is an abundant number, since it is smaller than the sum of its proper divisors (1627308408).

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

972467592 is a wasteful number, since it uses less digits than its factorization.

972467592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23726 (or 23722 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 972467592 is about 31184.4126447814. The cubic root of 972467592 is about 990.7369922870.

The spelling of 972467592 in words is "nine hundred seventy-two million, four hundred sixty-seven thousand, five hundred ninety-two".