971464416 has 48 divisors (see below), whose sum is σ = 2746258704. Its totient is φ = 298911744.

The previous prime is 971464399. The next prime is 971464427. The reversal of 971464416 is 614464179.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×971464416² = 1887486223108442112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387961 + ... + 390456.

It is an arithmetic number, because the mean of its divisors is an integer number (57213723).

Almost surely, 2^971464416 is an apocalyptic number.

971464416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

971464416 is an abundant number, since it is smaller than the sum of its proper divisors (1774794288).

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

971464416 is a wasteful number, since it uses less digits than its factorization.

971464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778443 (or 778435 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 971464416 is about 31168.3239202880. The cubic root of 971464416 is about 990.3962009732.

The spelling of 971464416 in words is "nine hundred seventy-one million, four hundred sixty-four thousand, four hundred sixteen".