409118472 has 256 divisors, whose sum is σ = 1365811200. Its totient is φ = 111041280.

The previous prime is 409118461. The next prime is 409118491. The reversal of 409118472 is 274811904.

409118472 is a `hidden beast` number, since 409 + 1 + 184 + 72 = 666.

It is a super-2 number, since 2×409118472² = 334755848263229568, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3971973 + ... + 3972075.

It is an arithmetic number, because the mean of its divisors is an integer number (5335200).

Almost surely, 2^409118472 is an apocalyptic number.

409118472 is a gapful number since it is divisible by the number (42) 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 409118472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682905600).

409118472 is an abundant number, since it is smaller than the sum of its proper divisors (956692728).

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

409118472 is a wasteful number, since it uses less digits than its factorization.

409118472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 409118472 is about 20226.6772357696. The cubic root of 409118472 is about 742.3630764760.

The spelling of 409118472 in words is "four hundred nine million, one hundred eighteen thousand, four hundred seventy-two".