416481590 has 64 divisors (see below), whose sum is σ = 899665920. Its totient is φ = 135803520.

The previous prime is 416481563. The next prime is 416481629. The reversal of 416481590 is 95184614.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126404 + ... + 129656.

It is an arithmetic number, because the mean of its divisors is an integer number (14057280).

Almost surely, 2^416481590 is an apocalyptic number.

416481590 is an abundant number, since it is smaller than the sum of its proper divisors (483184330).

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

416481590 is a wasteful number, since it uses less digits than its factorization.

416481590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 416481590 is about 20407.8805856953. The cubic root of 416481590 is about 746.7901875881.

The spelling of 416481590 in words is "four hundred sixteen million, four hundred eighty-one thousand, five hundred ninety".