396314880 has 288 divisors, whose sum is σ = 1446367104. Its totient is φ = 91619328.

The previous prime is 396314879. The next prime is 396314887. The reversal of 396314880 is 88413693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (396314887) 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, 848407 + ... + 848873.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108).

Almost surely, 2^396314880 is an apocalyptic number.

396314880 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 396314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723183552).

396314880 is an abundant number, since it is smaller than the sum of its proper divisors (1050052224).

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

396314880 is a wasteful number, since it uses less digits than its factorization.

396314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 396314880 is about 19907.6588276974. The cubic root of 396314880 is about 734.5366323692.

The spelling of 396314880 in words is "three hundred ninety-six million, three hundred fourteen thousand, eight hundred eighty".