404527680 has 336 divisors, whose sum is σ = 1506345984. Its totient is φ = 99348480.

The previous prime is 404527679. The next prime is 404527687. The reversal of 404527680 is 86725404.

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 (404527687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053342 + ... + 2053538.

Almost surely, 2^404527680 is an apocalyptic number.

404527680 is a gapful number since it is divisible by the number (40) 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 404527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753172992).

404527680 is an abundant number, since it is smaller than the sum of its proper divisors (1101818304).

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

404527680 is a wasteful number, since it uses less digits than its factorization.

404527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 404527680 is about 20112.8734893849. The cubic root of 404527680 is about 739.5758952863.

The spelling of 404527680 in words is "four hundred four million, five hundred twenty-seven thousand, six hundred eighty".