972953000460 has 288 divisors, whose sum is σ = 3489808637952. Its totient is φ = 214714644480.

The previous prime is 972953000431. The next prime is 972953000489. The reversal of 972953000460 is 64000359279.

It is a happy number.

972953000460 is a `hidden beast` number, since 9 + 72 + 9 + 530 + 0 + 0 + 46 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (972953000431) and next prime (972953000489).

It is a super-2 number, since 2×972953000460² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 16884217 + ... + 16941743.

It is an arithmetic number, because the mean of its divisors is an integer number (12117391104).

Almost surely, 2^972953000460 is an apocalyptic number.

972953000460 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 972953000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744904318976).

972953000460 is an abundant number, since it is smaller than the sum of its proper divisors (2516855637492).

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

972953000460 is a wasteful number, since it uses less digits than its factorization.

972953000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58013 (or 58008 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 972953000460 in words is "nine hundred seventy-two billion, nine hundred fifty-three million, four hundred sixty", and thus it is an aban number.