414115368 has 32 divisors (see below), whose sum is σ = 1080302400. Its totient is φ = 132036608.

The previous prime is 414115367. The next prime is 414115369. The reversal of 414115368 is 863511414.

It is an interprime number because it is at equal distance from previous prime (414115367) and next prime (414115369).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (414115367) 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, 374553 + ... + 375656.

It is an arithmetic number, because the mean of its divisors is an integer number (33759450).

Almost surely, 2^414115368 is an apocalyptic number.

It is an amenable number.

414115368 is an abundant number, since it is smaller than the sum of its proper divisors (666187032).

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

414115368 is a wasteful number, since it uses less digits than its factorization.

414115368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750241 (or 750237 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 414115368 is about 20349.8247658303. The cubic root of 414115368 is about 745.3732154020.

The spelling of 414115368 in words is "four hundred fourteen million, one hundred fifteen thousand, three hundred sixty-eight".