413012720 has 40 divisors (see below), whose sum is σ = 962552976. Its totient is φ = 164809728.

The previous prime is 413012689. The next prime is 413012779. The reversal of 413012720 is 27210314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413012692 and 413012701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28679 + ... + 40601.

Almost surely, 2^413012720 is an apocalyptic number.

413012720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413012720 is an abundant number, since it is smaller than the sum of its proper divisors (549540256).

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

413012720 is a wasteful number, since it uses less digits than its factorization.

413012720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 413012720 is about 20322.7143856326. The cubic root of 413012720 is about 744.7110691374.

The spelling of 413012720 in words is "four hundred thirteen million, twelve thousand, seven hundred twenty".