399267360 has 192 divisors, whose sum is σ = 1446076800. Its totient is φ = 102767616.

The previous prime is 399267329. The next prime is 399267367. The reversal of 399267360 is 63762993.

It is a super-2 number, since 2×399267360² = 318828849522739200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (399267367) 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 31 ways as a sum of consecutive naturals, for example, 123687 + ... + 126873.

It is an arithmetic number, because the mean of its divisors is an integer number (7531650).

Almost surely, 2^399267360 is an apocalyptic number.

399267360 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 399267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723038400).

399267360 is an abundant number, since it is smaller than the sum of its proper divisors (1046809440).

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

399267360 is a wasteful number, since it uses less digits than its factorization.

399267360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 399267360 is about 19981.6756054141. The cubic root of 399267360 is about 736.3561799968.

The spelling of 399267360 in words is "three hundred ninety-nine million, two hundred sixty-seven thousand, three hundred sixty".