413837120 has 112 divisors (see below), whose sum is σ = 1053388800. Its totient is φ = 154312704.

The previous prime is 413837101. The next prime is 413837131. The reversal of 413837120 is 21738314.

413837120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413837120² = 342522323779788800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690581 + ... + 691179.

Almost surely, 2^413837120 is an apocalyptic number.

413837120 is a gapful number since it is divisible by the number (40) 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 413837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

413837120 is an abundant number, since it is smaller than the sum of its proper divisors (639551680).

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

413837120 is a wasteful number, since it uses less digits than its factorization.

413837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 413837120 is about 20342.9869979804. The cubic root of 413837120 is about 745.2062369133.

The spelling of 413837120 in words is "four hundred thirteen million, eight hundred thirty-seven thousand, one hundred twenty".