396614400 has 432 divisors, whose sum is σ = 1618063104. Its totient is φ = 83312640.

The previous prime is 396614381. The next prime is 396614441. The reversal of 396614400 is 4416693.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747087 + ... + 1747313.

Almost surely, 2^396614400 is an apocalyptic number.

396614400 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 396614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809031552).

396614400 is an abundant number, since it is smaller than the sum of its proper divisors (1221448704).

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

396614400 is a wasteful number, since it uses less digits than its factorization.

396614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 396614400 is about 19915.1801397828. The cubic root of 396614400 is about 734.7216308992.

The spelling of 396614400 in words is "three hundred ninety-six million, six hundred fourteen thousand, four hundred".