413772720 has 80 divisors (see below), whose sum is σ = 1294545120. Its totient is φ = 109320192.

The previous prime is 413772713. The next prime is 413772721. The reversal of 413772720 is 27277314.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (413772721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18252 + ... + 34068.

It is an arithmetic number, because the mean of its divisors is an integer number (16181814).

Almost surely, 2^413772720 is an apocalyptic number.

413772720 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 413772720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647272560).

413772720 is an abundant number, since it is smaller than the sum of its proper divisors (880772400).

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

413772720 is a wasteful number, since it uses less digits than its factorization.

413772720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15942 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 413772720 is about 20341.4040813313. The cubic root of 413772720 is about 745.1675793764.

The spelling of 413772720 in words is "four hundred thirteen million, seven hundred seventy-two thousand, seven hundred twenty".