336404992 has 240 divisors, whose sum is σ = 906852672. Its totient is φ = 123002880.

The previous prime is 336404947. The next prime is 336405023. The reversal of 336404992 is 299404633.

It is a super-2 number, since 2×336404992² = 226336637285040128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6347238 + ... + 6347290.

Almost surely, 2^336404992 is an apocalyptic number.

336404992 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 336404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453426336).

336404992 is an abundant number, since it is smaller than the sum of its proper divisors (570447680).

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

336404992 is a wasteful number, since it uses less digits than its factorization.

336404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 336404992 is about 18341.3465154552. The cubic root of 336404992 is about 695.4845348808.

The spelling of 336404992 in words is "three hundred thirty-six million, four hundred four thousand, nine hundred ninety-two".