399519360 has 192 divisors, whose sum is σ = 1392300000. Its totient is φ = 105560064.

The previous prime is 399519359. The next prime is 399519371. The reversal of 399519360 is 63915993.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800391 + ... + 800889.

Almost surely, 2^399519360 is an apocalyptic number.

399519360 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 399519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696150000).

399519360 is an abundant number, since it is smaller than the sum of its proper divisors (992780640).

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

399519360 is a wasteful number, since it uses less digits than its factorization.

399519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 399519360 is about 19987.9803882233. The cubic root of 399519360 is about 736.5110659623.

The spelling of 399519360 in words is "three hundred ninety-nine million, five hundred nineteen thousand, three hundred sixty".