972775440 has 640 divisors, whose sum is σ = 4249728000. Its totient is φ = 203212800.

The previous prime is 972775439. The next prime is 972775451. The reversal of 972775440 is 44577279.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9631390 + ... + 9631490.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^972775440 is an apocalyptic number.

972775440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864000).

972775440 is an abundant number, since it is smaller than the sum of its proper divisors (3276952560).

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

972775440 is a wasteful number, since it uses less digits than its factorization.

972775440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 972775440 is about 31189.3481817110. The cubic root of 972775440 is about 990.8415250674.

The spelling of 972775440 in words is "nine hundred seventy-two million, seven hundred seventy-five thousand, four hundred forty".