399484800 has 576 divisors, whose sum is σ = 1691922960. Its totient is φ = 88473600.

The previous prime is 399484763. The next prime is 399484807. The reversal of 399484800 is 8484993.

It is a happy number.

399484800 is a `hidden beast` number, since 3 + 99 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399484807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118352 + ... + 4118448.

Almost surely, 2^399484800 is an apocalyptic number.

399484800 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 399484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845961480).

399484800 is an abundant number, since it is smaller than the sum of its proper divisors (1292438160).

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

399484800 is a wasteful number, since it uses less digits than its factorization.

399484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 399484800 is about 19987.1158499669. The cubic root of 399484800 is about 736.4898283128.

The spelling of 399484800 in words is "three hundred ninety-nine million, four hundred eighty-four thousand, eight hundred".