404464020 has 192 divisors, whose sum is σ = 1258414080. Its totient is φ = 96671232.

The previous prime is 404464013. The next prime is 404464061. The reversal of 404464020 is 20464404.

It is a super-2 number, since 2×404464020² = 327182286949120800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813629 + ... + 1813851.

It is an arithmetic number, because the mean of its divisors is an integer number (6554240).

Almost surely, 2^404464020 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 404464020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629207040).

404464020 is an abundant number, since it is smaller than the sum of its proper divisors (853950060).

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

404464020 is a wasteful number, since it uses less digits than its factorization.

404464020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 404464020 is about 20111.2908586197. The cubic root of 404464020 is about 739.5370978824.

The spelling of 404464020 in words is "four hundred four million, four hundred sixty-four thousand, twenty".