972857280 has 224 divisors, whose sum is σ = 3231489600. Its totient is φ = 247726080.

The previous prime is 972857273. The next prime is 972857293. The reversal of 972857280 is 82758279.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166496 + ... + 2166944.

Almost surely, 2^972857280 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 972857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615744800).

972857280 is an abundant number, since it is smaller than the sum of its proper divisors (2258632320).

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

972857280 is a wasteful number, since it uses less digits than its factorization.

972857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 972857280 is about 31190.6601404972. The cubic root of 972857280 is about 990.8693109239.

The spelling of 972857280 in words is "nine hundred seventy-two million, eight hundred fifty-seven thousand, two hundred eighty".