404398512 has 120 divisors (see below), whose sum is σ = 1349746944. Its totient is φ = 110512512.

The previous prime is 404398507. The next prime is 404398517. The reversal of 404398512 is 215893404.

It is an interprime number because it is at equal distance from previous prime (404398507) and next prime (404398517).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (404398517) 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 23 ways as a sum of consecutive naturals, for example, 14463 + ... + 31905.

Almost surely, 2^404398512 is an apocalyptic number.

404398512 is a gapful number since it is divisible by the number (42) 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 404398512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674873472).

404398512 is an abundant number, since it is smaller than the sum of its proper divisors (945348432).

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

404398512 is a wasteful number, since it uses less digits than its factorization.

404398512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17487 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 404398512 is about 20109.6621552924. The cubic root of 404398512 is about 739.4971699700.

The spelling of 404398512 in words is "four hundred four million, three hundred ninety-eight thousand, five hundred twelve".