414079536 has 40 divisors (see below), whose sum is σ = 1151992240. Its totient is φ = 127408896.

The previous prime is 414079441. The next prime is 414079537. The reversal of 414079536 is 635970414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 414079494 and 414079503.

It is not an unprimeable number, because it can be changed into a prime (414079537) 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 7 ways as a sum of consecutive naturals, for example, 331171 + ... + 332418.

It is an arithmetic number, because the mean of its divisors is an integer number (28799806).

Almost surely, 2^414079536 is an apocalyptic number.

It is an amenable number.

414079536 is an abundant number, since it is smaller than the sum of its proper divisors (737912704).

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

414079536 is a wasteful number, since it uses less digits than its factorization.

414079536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663613 (or 663607 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 414079536 is about 20348.9443460834. The cubic root of 414079536 is about 745.3517165754.

The spelling of 414079536 in words is "four hundred fourteen million, seventy-nine thousand, five hundred thirty-six".