399769600 has 114 divisors (see below), whose sum is σ = 1007679614. Its totient is φ = 157286400.

The previous prime is 399769597. The next prime is 399769607. The reversal of 399769600 is 6967993.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 398721024 = 1024^2 + 19968^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399769607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6553570 + ... + 6553630.

Almost surely, 2^399769600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503839807).

399769600 is an abundant number, since it is smaller than the sum of its proper divisors (607910014).

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

399769600 is an frugal number, since it uses more digits than its factorization.

399769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 49.

The square root of 399769600 is about 19994.2391703210. The cubic root of 399769600 is about 736.6648057482.

The spelling of 399769600 in words is "three hundred ninety-nine million, seven hundred sixty-nine thousand, six hundred".