396753588 has 288 divisors, whose sum is σ = 1341849600. Its totient is φ = 97796160.

The previous prime is 396753587. The next prime is 396753589. The reversal of 396753588 is 885357693.

It is a happy number.

396753588 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 53 + 588 = 666.

It is an interprime number because it is at equal distance from previous prime (396753587) and next prime (396753589).

Its product of digits (5443200) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396753587) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3123981 + ... + 3124107.

It is an arithmetic number, because the mean of its divisors is an integer number (4659200).

Almost surely, 2^396753588 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 396753588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670924800).

396753588 is an abundant number, since it is smaller than the sum of its proper divisors (945096012).

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

396753588 is a wasteful number, since it uses less digits than its factorization.

396753588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 396753588 is about 19918.6743534805. The cubic root of 396753588 is about 734.8075686713.

The spelling of 396753588 in words is "three hundred ninety-six million, seven hundred fifty-three thousand, five hundred eighty-eight".