413013408 has 48 divisors (see below), whose sum is σ = 1088952480. Its totient is φ = 137062656.

The previous prime is 413013407. The next prime is 413013413. The reversal of 413013408 is 804310314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (413013407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12591 + ... + 31377.

It is an arithmetic number, because the mean of its divisors is an integer number (22686510).

Almost surely, 2^413013408 is an apocalyptic number.

413013408 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 413013408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544476240).

413013408 is an abundant number, since it is smaller than the sum of its proper divisors (675939072).

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

413013408 is a wasteful number, since it uses less digits than its factorization.

413013408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19029 (or 19021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 413013408 is about 20322.7313124983. The cubic root of 413013408 is about 744.7114826525.

The spelling of 413013408 in words is "four hundred thirteen million, thirteen thousand, four hundred eight".