413511408 has 60 divisors (see below), whose sum is σ = 1188550168. Its totient is φ = 134110080.

The previous prime is 413511403. The next prime is 413511431. The reversal of 413511408 is 804115314.

It is a happy number.

It is a super-2 number, since 2×413511408² = 341983369092284928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413511403) 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, 33478 + ... + 44133.

Almost surely, 2^413511408 is an apocalyptic number.

413511408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413511408 is an abundant number, since it is smaller than the sum of its proper divisors (775038760).

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

413511408 is a wasteful number, since it uses less digits than its factorization.

413511408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77662 (or 77653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 413511408 is about 20334.9799114727. The cubic root of 413511408 is about 745.0106798463.

The spelling of 413511408 in words is "four hundred thirteen million, five hundred eleven thousand, four hundred eight".