399614400 has 126 divisors (see below), whose sum is σ = 1420375112. Its totient is φ = 106560000.

The previous prime is 399614399. The next prime is 399614407. The reversal of 399614400 is 4416993.

399614400 is a `hidden beast` number, since 39 + 9 + 614 + 4 + 0 + 0 = 666.

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 (399614407) 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 17 ways as a sum of consecutive naturals, for example, 525 + ... + 28275.

Almost surely, 2^399614400 is an apocalyptic number.

399614400 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 399614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710187556).

399614400 is an abundant number, since it is smaller than the sum of its proper divisors (1020760712).

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

399614400 is a wasteful number, since it uses less digits than its factorization.

399614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27779 (or 27761 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 399614400 is about 19990.3576756395. The cubic root of 399614400 is about 736.5694631840.

The spelling of 399614400 in words is "three hundred ninety-nine million, six hundred fourteen thousand, four hundred".