404854272 has 120 divisors (see below), whose sum is σ = 1181163984. Its totient is φ = 133484544.

The previous prime is 404854271. The next prime is 404854279. The reversal of 404854272 is 272458404.

404854272 is a `hidden beast` number, since 4 + 0 + 48 + 542 + 72 = 666.

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 (404854271) 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, 474198 + ... + 475050.

Almost surely, 2^404854272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590581992).

404854272 is an abundant number, since it is smaller than the sum of its proper divisors (776309712).

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

404854272 is a wasteful number, since it uses less digits than its factorization.

404854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 404854272 is about 20120.9908304735. The cubic root of 404854272 is about 739.7748718626.

The spelling of 404854272 in words is "four hundred four million, eight hundred fifty-four thousand, two hundred seventy-two".