396412800 has 384 divisors, whose sum is σ = 1584541440. Its totient is φ = 85032960.

The previous prime is 396412771. The next prime is 396412801. The reversal of 396412800 is 8214693.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×396412800³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396412801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142227 + ... + 1142573.

It is an arithmetic number, because the mean of its divisors is an integer number (4126410).

Almost surely, 2^396412800 is an apocalyptic number.

396412800 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 396412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792270720).

396412800 is an abundant number, since it is smaller than the sum of its proper divisors (1188128640).

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

396412800 is a wasteful number, since it uses less digits than its factorization.

396412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 396412800 is about 19910.1180307903. The cubic root of 396412800 is about 734.5971229099.

The spelling of 396412800 in words is "three hundred ninety-six million, four hundred twelve thousand, eight hundred".