413854272 has 336 divisors, whose sum is σ = 1397934720. Its totient is φ = 120434688.

The previous prime is 413854253. The next prime is 413854297. The reversal of 413854272 is 272458314.

It is a happy number.

413854272 is a `hidden beast` number, since 4 + 1 + 385 + 4 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4650004 + ... + 4650092.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^413854272 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 413854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

413854272 is an abundant number, since it is smaller than the sum of its proper divisors (984080448).

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

413854272 is a wasteful number, since it uses less digits than its factorization.

413854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 413854272 is about 20343.4085639551. The cubic root of 413854272 is about 745.2165321077.

The spelling of 413854272 in words is "four hundred thirteen million, eight hundred fifty-four thousand, two hundred seventy-two".