404774304 has 96 divisors (see below), whose sum is σ = 1187524800. Its totient is φ = 119654400.

The previous prime is 404774299. The next prime is 404774327. The reversal of 404774304 is 403477404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38622 + ... + 47970.

It is an arithmetic number, because the mean of its divisors is an integer number (12370050).

Almost surely, 2^404774304 is an apocalyptic number.

404774304 is a gapful number since it is divisible by the number (44) 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 404774304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593762400).

404774304 is an abundant number, since it is smaller than the sum of its proper divisors (782750496).

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

404774304 is a wasteful number, since it uses less digits than its factorization.

404774304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 404774304 is about 20119.0035538543. The cubic root of 404774304 is about 739.7261611564.

The spelling of 404774304 in words is "four hundred four million, seven hundred seventy-four thousand, three hundred four".