404462720 has 64 divisors (see below), whose sum is σ = 969573240. Its totient is φ = 161341440.

The previous prime is 404462717. The next prime is 404462761. The reversal of 404462720 is 27264404.

It can be written as a sum of positive squares in 4 ways, for example, as 170250304 + 234212416 = 13048^2 + 15304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 332834 + ... + 334046.

Almost surely, 2^404462720 is an apocalyptic number.

404462720 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 404462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484786620).

404462720 is an abundant number, since it is smaller than the sum of its proper divisors (565110520).

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

404462720 is a wasteful number, since it uses less digits than its factorization.

404462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 404462720 is about 20111.2585384406. The cubic root of 404462720 is about 739.5363055587.

The spelling of 404462720 in words is "four hundred four million, four hundred sixty-two thousand, seven hundred twenty".