413622720 has 336 divisors, whose sum is σ = 1699138080. Its totient is φ = 94445568.

The previous prime is 413622707. The next prime is 413622743. The reversal of 413622720 is 27226314.

413622720 is a `hidden beast` number, since 4 + 13 + 622 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422872 + ... + 423848.

Almost surely, 2^413622720 is an apocalyptic number.

413622720 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 413622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849569040).

413622720 is an abundant number, since it is smaller than the sum of its proper divisors (1285515360).

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

413622720 is a wasteful number, since it uses less digits than its factorization.

413622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413622720 is about 20337.7166859999. The cubic root of 413622720 is about 745.0775229750.

The spelling of 413622720 in words is "four hundred thirteen million, six hundred twenty-two thousand, seven hundred twenty".