396331488 has 192 divisors, whose sum is σ = 1391040000. Its totient is φ = 107246592.

The previous prime is 396331477. The next prime is 396331493. The reversal of 396331488 is 884133693.

396331488 is a `hidden beast` number, since 3 + 9 + 633 + 1 + 4 + 8 + 8 = 666.

It is a super-3 number, since 3×396331488³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113188 + ... + 116636.

It is an arithmetic number, because the mean of its divisors is an integer number (7245000).

Almost surely, 2^396331488 is an apocalyptic number.

396331488 is a gapful number since it is divisible by the number (38) 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 396331488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520000).

396331488 is an abundant number, since it is smaller than the sum of its proper divisors (994708512).

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

396331488 is a wasteful number, since it uses less digits than its factorization.

396331488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3480 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 396331488 is about 19908.0759492222. The cubic root of 396331488 is about 734.5468927409.

The spelling of 396331488 in words is "three hundred ninety-six million, three hundred thirty-one thousand, four hundred eighty-eight".