404626464 has 144 divisors (see below), whose sum is σ = 1262308320. Its totient is φ = 121927680.

The previous prime is 404626447. The next prime is 404626583. The reversal of 404626464 is 464626404.

It is a happy number.

404626464 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 2 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067427 + ... + 1067805.

It is an arithmetic number, because the mean of its divisors is an integer number (8766030).

Almost surely, 2^404626464 is an apocalyptic number.

404626464 is a gapful number since it is divisible by the number (44) 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 404626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631154160).

404626464 is an abundant number, since it is smaller than the sum of its proper divisors (857681856).

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

404626464 is a wasteful number, since it uses less digits than its factorization.

404626464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 404626464 is about 20115.3290800822. The cubic root of 404626464 is about 739.6360908534.

The spelling of 404626464 in words is "four hundred four million, six hundred twenty-six thousand, four hundred sixty-four".