413432016 has 40 divisors (see below), whose sum is σ = 1070467200. Its totient is φ = 137496576.

The previous prime is 413432011. The next prime is 413432021. The reversal of 413432016 is 610234314.

It is an interprime number because it is at equal distance from previous prime (413432011) and next prime (413432021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413432011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11961 + ... + 31143.

It is an arithmetic number, because the mean of its divisors is an integer number (26761680).

Almost surely, 2^413432016 is an apocalyptic number.

It is an amenable number.

413432016 is an abundant number, since it is smaller than the sum of its proper divisors (657035184).

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

413432016 is a wasteful number, since it uses less digits than its factorization.

413432016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19643 (or 19637 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 413432016 is about 20333.0277135502. The cubic root of 413432016 is about 744.9629974265.

The spelling of 413432016 in words is "four hundred thirteen million, four hundred thirty-two thousand, sixteen".