404927316 has 96 divisors (see below), whose sum is σ = 1132252800. Its totient is φ = 124727040.

The previous prime is 404927309. The next prime is 404927323. The reversal of 404927316 is 613729404.

It is an interprime number because it is at equal distance from previous prime (404927309) and next prime (404927323).

It is a super-2 number, since 2×404927316² = 327932262485927712, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81726 + ... + 86538.

It is an arithmetic number, because the mean of its divisors is an integer number (11794300).

Almost surely, 2^404927316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404927316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566126400).

404927316 is an abundant number, since it is smaller than the sum of its proper divisors (727325484).

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

404927316 is a wasteful number, since it uses less digits than its factorization.

404927316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 404927316 is about 20122.8058679698. The cubic root of 404927316 is about 739.8193593651.

The spelling of 404927316 in words is "four hundred four million, nine hundred twenty-seven thousand, three hundred sixteen".