404138772 has 18 divisors (see below), whose sum is σ = 1021573098. Its totient is φ = 134712912.

The previous prime is 404138771. The next prime is 404138783. The reversal of 404138772 is 277831404.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 392277636 + 11861136 = 19806^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11226077 = 404138772 / (4 + 0 + 4 + 1 + 3 + 8 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404138771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5613003 + ... + 5613074.

It is an arithmetic number, because the mean of its divisors is an integer number (56754061).

Almost surely, 2^404138772 is an apocalyptic number.

It is an amenable number.

404138772 is an abundant number, since it is smaller than the sum of its proper divisors (617434326).

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

404138772 is a wasteful number, since it uses less digits than its factorization.

404138772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226087 (or 11226082 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 404138772 is about 20103.2030283734. The cubic root of 404138772 is about 739.3388128653.

The spelling of 404138772 in words is "four hundred four million, one hundred thirty-eight thousand, seven hundred seventy-two".