401604120 has 48 divisors (see below), whose sum is σ = 1305214560. Its totient is φ = 107094336.

The previous prime is 401604113. The next prime is 401604139. The reversal of 401604120 is 21406104.

401604120 is a `hidden beast` number, since 40 + 1 + 604 + 1 + 20 = 666.

It is a super-2 number, since 2×401604120² = 322571738401948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401604093 and 401604102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557424 + ... + 558143.

It is an arithmetic number, because the mean of its divisors is an integer number (27191970).

Almost surely, 2^401604120 is an apocalyptic number.

401604120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401604120 is an abundant number, since it is smaller than the sum of its proper divisors (903610440).

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

401604120 is a wasteful number, since it uses less digits than its factorization.

401604120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115584 (or 1115577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401604120 is about 20040.0628741529. The cubic root of 401604120 is about 737.7899241225.

The spelling of 401604120 in words is "four hundred one million, six hundred four thousand, one hundred twenty".