396740160 has 224 divisors, whose sum is σ = 1430853120. Its totient is φ = 103440384.

The previous prime is 396740153. The next prime is 396740161. The reversal of 396740160 is 61047693.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396740161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405592 + ... + 406568.

Almost surely, 2^396740160 is an apocalyptic number.

396740160 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 396740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715426560).

396740160 is an abundant number, since it is smaller than the sum of its proper divisors (1034112960).

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

396740160 is a wasteful number, since it uses less digits than its factorization.

396740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 396740160 is about 19918.3372800041. The cubic root of 396740160 is about 734.7992788010.

It can be divided in two parts, 396740 and 160, that added together give a square (396900 = 630²).

The spelling of 396740160 in words is "three hundred ninety-six million, seven hundred forty thousand, one hundred sixty".