413130720 has 48 divisors (see below), whose sum is σ = 1301363280. Its totient is φ = 110168064.

The previous prime is 413130709. The next prime is 413130727. The reversal of 413130720 is 27031314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413130727) 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, 429865 + ... + 430824.

It is an arithmetic number, because the mean of its divisors is an integer number (27111735).

Almost surely, 2^413130720 is an apocalyptic number.

413130720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413130720 is an abundant number, since it is smaller than the sum of its proper divisors (888232560).

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

413130720 is a wasteful number, since it uses less digits than its factorization.

413130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860707 (or 860699 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 413130720 is about 20325.6173337983. The cubic root of 413130720 is about 744.7819850635.

The spelling of 413130720 in words is "four hundred thirteen million, one hundred thirty thousand, seven hundred twenty".