399514752 has 384 divisors, whose sum is σ = 1467298560. Its totient is φ = 101523456.

The previous prime is 399514751. The next prime is 399514813. The reversal of 399514752 is 257415993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×399514752² = 319224074131243008, which contains 22 as substring.

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

Its product of digits (340200) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 399514698 and 399514707.

It is not an unprimeable number, because it can be changed into a prime (399514751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3878733 + ... + 3878835.

It is an arithmetic number, because the mean of its divisors is an integer number (3821090).

Almost surely, 2^399514752 is an apocalyptic number.

399514752 is a gapful number since it is divisible by the number (32) 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 399514752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733649280).

399514752 is an abundant number, since it is smaller than the sum of its proper divisors (1067783808).

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

399514752 is a wasteful number, since it uses less digits than its factorization.

399514752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 399514752 is about 19987.8651186163. The cubic root of 399514752 is about 736.5082343464.

The spelling of 399514752 in words is "three hundred ninety-nine million, five hundred fourteen thousand, seven hundred fifty-two".