404074368 has 96 divisors (see below), whose sum is σ = 1224030600. Its totient is φ = 127595520.

The previous prime is 404074361. The next prime is 404074379. The reversal of 404074368 is 863470404.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404074361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12658 + ... + 31118.

Almost surely, 2^404074368 is an apocalyptic number.

404074368 is a gapful number since it is divisible by the number (48) 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 404074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612015300).

404074368 is an abundant number, since it is smaller than the sum of its proper divisors (819956232).

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

404074368 is a wasteful number, since it uses less digits than its factorization.

404074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18500 (or 18485 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 404074368 is about 20101.6011302583. The cubic root of 404074368 is about 739.2995368296.

The spelling of 404074368 in words is "four hundred four million, seventy-four thousand, three hundred sixty-eight".