396517248 has 192 divisors, whose sum is σ = 1246297200. Its totient is φ = 124084224.

The previous prime is 396517237. The next prime is 396517259. The reversal of 396517248 is 842715693.

396517248 is a `hidden beast` number, since 3 + 96 + 517 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (396517237) and next prime (396517259).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×396517248² = 314451855922987008, 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 23 ways as a sum of consecutive naturals, for example, 998586 + ... + 998982.

Almost surely, 2^396517248 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 396517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623148600).

396517248 is an abundant number, since it is smaller than the sum of its proper divisors (849779952).

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

396517248 is a wasteful number, since it uses less digits than its factorization.

396517248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

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

The square root of 396517248 is about 19912.7408460011. The cubic root of 396517248 is about 734.6616351746.

The spelling of 396517248 in words is "three hundred ninety-six million, five hundred seventeen thousand, two hundred forty-eight".