413000720 has 160 divisors (see below), whose sum is σ = 1168318080. Its totient is φ = 133816320.

The previous prime is 413000717. The next prime is 413000743. The reversal of 413000720 is 27000314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283514 + ... + 284966.

It is an arithmetic number, because the mean of its divisors is an integer number (7301988).

Almost surely, 2^413000720 is an apocalyptic number.

413000720 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 413000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584159040).

413000720 is an abundant number, since it is smaller than the sum of its proper divisors (755317360).

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

413000720 is a wasteful number, since it uses less digits than its factorization.

413000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 413000720 is about 20322.4191473358. The cubic root of 413000720 is about 744.7038565917.

The spelling of 413000720 in words is "four hundred thirteen million, seven hundred twenty", and thus it is an aban number.