413270016 has 72 divisors (see below), whose sum is σ = 1103097744. Its totient is φ = 137625600.

The previous prime is 413269993. The next prime is 413270027. The reversal of 413270016 is 610072314.

It is a super-2 number, since 2×413270016² = 341584212249280512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392691 + ... + 393741.

It is an arithmetic number, because the mean of its divisors is an integer number (15320802).

Almost surely, 2^413270016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551548872).

413270016 is an abundant number, since it is smaller than the sum of its proper divisors (689827728).

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

413270016 is an frugal number, since it uses more digits than its factorization.

413270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 413270016 is about 20329.0436567980. The cubic root of 413270016 is about 744.8656821345.

The spelling of 413270016 in words is "four hundred thirteen million, two hundred seventy thousand, sixteen".