971952492 has 192 divisors, whose sum is σ = 2901878784. Its totient is φ = 246681600.

The previous prime is 971952491. The next prime is 971952497. The reversal of 971952492 is 294259179.

It is not an unprimeable number, because it can be changed into a prime (971952491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3317098 + ... + 3317390.

It is an arithmetic number, because the mean of its divisors is an integer number (15113952).

Almost surely, 2^971952492 is an apocalyptic number.

971952492 is a gapful number since it is divisible by the number (92) 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 971952492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450939392).

971952492 is an abundant number, since it is smaller than the sum of its proper divisors (1929926292).

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

971952492 is a wasteful number, since it uses less digits than its factorization.

971952492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 971952492 is about 31176.1526170244. The cubic root of 971952492 is about 990.5620357265.

The spelling of 971952492 in words is "nine hundred seventy-one million, nine hundred fifty-two thousand, four hundred ninety-two".