413697816 has 96 divisors (see below), whose sum is σ = 1287430560. Its totient is φ = 117559296.

The previous prime is 413697769. The next prime is 413697827. The reversal of 413697816 is 618796314.

It is a happy number.

It is a super-2 number, since 2×413697816² = 342291765926339712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95146 + ... + 99398.

It is an arithmetic number, because the mean of its divisors is an integer number (13410735).

Almost surely, 2^413697816 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 413697816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643715280).

413697816 is an abundant number, since it is smaller than the sum of its proper divisors (873732744).

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

413697816 is a wasteful number, since it uses less digits than its factorization.

413697816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4458 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 413697816 is about 20339.5628271603. The cubic root of 413697816 is about 745.1226115329.

The spelling of 413697816 in words is "four hundred thirteen million, six hundred ninety-seven thousand, eight hundred sixteen".