413651616 has 96 divisors (see below), whose sum is σ = 1313988480. Its totient is φ = 111230976.

The previous prime is 413651593. The next prime is 413651617. The reversal of 413651616 is 616156314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×413651616² = 342215318838822912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413651617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6681 + ... + 29528.

It is an arithmetic number, because the mean of its divisors is an integer number (13687380).

Almost surely, 2^413651616 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 413651616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656994240).

413651616 is an abundant number, since it is smaller than the sum of its proper divisors (900336864).

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

413651616 is a wasteful number, since it uses less digits than its factorization.

413651616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36246 (or 36238 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 413651616 is about 20338.4270778249. The cubic root of 413651616 is about 745.0948731331.

The spelling of 413651616 in words is "four hundred thirteen million, six hundred fifty-one thousand, six hundred sixteen".