414090064 has 20 divisors (see below), whose sum is σ = 828181120. Its totient is φ = 200365920.

The previous prime is 414090059. The next prime is 414090067. The reversal of 414090064 is 460090414.

414090064 is an admirable number.

It is a super-2 number, since 2×414090064² = 342941162207048192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414090067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416934 + ... + 417925.

It is an arithmetic number, because the mean of its divisors is an integer number (41409056).

Almost surely, 2^414090064 is an apocalyptic number.

It is an amenable number.

414090064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

414090064 is a wasteful number, since it uses less digits than its factorization.

414090064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834898 (or 834892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 414090064 is about 20349.2030310772. The cubic root of 414090064 is about 745.3580333944.

The spelling of 414090064 in words is "four hundred fourteen million, ninety thousand, sixty-four".