382971456 has 168 divisors, whose sum is σ = 1309969440. Its totient is φ = 109396224.

The previous prime is 382971439. The next prime is 382971469. The reversal of 382971456 is 654179283.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×382971456² = 293334272221519872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82411 + ... + 86933.

Almost surely, 2^382971456 is an apocalyptic number.

382971456 is a gapful number since it is divisible by the number (36) 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 382971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654984720).

382971456 is an abundant number, since it is smaller than the sum of its proper divisors (926997984).

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

382971456 is a wasteful number, since it uses less digits than its factorization.

382971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4535 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 382971456 is about 19569.6565120597. The cubic root of 382971456 is about 726.1987025267.

The spelling of 382971456 in words is "three hundred eighty-two million, nine hundred seventy-one thousand, four hundred fifty-six".