413432208 has 120 divisors (see below), whose sum is σ = 1380521760. Its totient is φ = 118117440.

The previous prime is 413432189. The next prime is 413432263. The reversal of 413432208 is 802234314.

413432208 is a `hidden beast` number, since 413 + 43 + 2 + 208 = 666.

It is a super-2 number, since 2×413432208² = 341852381223510528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11403 + ... + 30933.

It is an arithmetic number, because the mean of its divisors is an integer number (11504348).

Almost surely, 2^413432208 is an apocalyptic number.

413432208 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 413432208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690260880).

413432208 is an abundant number, since it is smaller than the sum of its proper divisors (967089552).

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

413432208 is a wasteful number, since it uses less digits than its factorization.

413432208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19562 (or 19543 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 413432208 is about 20333.0324349321. The cubic root of 413432208 is about 744.9631127480.

The spelling of 413432208 in words is "four hundred thirteen million, four hundred thirty-two thousand, two hundred eight".