396152640 has 224 divisors, whose sum is σ = 1505468160. Its totient is φ = 97486848.

The previous prime is 396152629. The next prime is 396152663. The reversal of 396152640 is 46251693.

It is a happy number.

396152640 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 396152595 and 396152604.

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, 110557 + ... + 114083.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2^396152640 is an apocalyptic number.

396152640 is a gapful number since it is divisible by the number (30) 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 396152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752734080).

396152640 is an abundant number, since it is smaller than the sum of its proper divisors (1109315520).

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

396152640 is a wasteful number, since it uses less digits than its factorization.

396152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 396152640 is about 19903.5835969305. The cubic root of 396152640 is about 734.4363859114.

The spelling of 396152640 in words is "three hundred ninety-six million, one hundred fifty-two thousand, six hundred forty".