399281405952 has 240 divisors, whose sum is σ = 1250879438592. Its totient is φ = 111685140480.

The previous prime is 399281405951. The next prime is 399281405953. The reversal of 399281405952 is 259504182993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (399281405951) and next prime (399281405953).

It is a super-2 number, since 2×399281405952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 399281405892 and 399281405901.

It is not an unprimeable number, because it can be changed into a prime (399281405951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7000333 + ... + 7057139.

Almost surely, 2^399281405952 is an apocalyptic number.

399281405952 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 399281405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625439719296).

399281405952 is an abundant number, since it is smaller than the sum of its proper divisors (851598032640).

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

399281405952 is a wasteful number, since it uses less digits than its factorization.

399281405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56862 (or 56836 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 399281405952 in words is "three hundred ninety-nine billion, two hundred eighty-one million, four hundred five thousand, nine hundred fifty-two".