404013120 has 224 divisors, whose sum is σ = 1492300800. Its totient is φ = 90691584.

The previous prime is 404013119. The next prime is 404013133. The reversal of 404013120 is 21310404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×404013120² = 326453202264268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 404013120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395971 + ... + 396989.

Almost surely, 2^404013120 is an apocalyptic number.

404013120 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 404013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746150400).

404013120 is an abundant number, since it is smaller than the sum of its proper divisors (1088287680).

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

404013120 is a wasteful number, since it uses less digits than its factorization.

404013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 404013120 is about 20100.0776117905. The cubic root of 404013120 is about 739.2621815722.

Adding to 404013120 its reverse (21310404), we get a palindrome (425323524).

The spelling of 404013120 in words is "four hundred four million, thirteen thousand, one hundred twenty".