416316390 has 64 divisors (see below), whose sum is σ = 1161285120. Its totient is φ = 93542400.

The previous prime is 416316379. The next prime is 416316403. The reversal of 416316390 is 93613614.

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, 4411 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (18145080).

Almost surely, 2^416316390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416316390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580642560).

416316390 is an abundant number, since it is smaller than the sum of its proper divisors (744968730).

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

416316390 is a wasteful number, since it uses less digits than its factorization.

416316390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33677.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 416316390 is about 20403.8327281910. The cubic root of 416316390 is about 746.6914348803.

The spelling of 416316390 in words is "four hundred sixteen million, three hundred sixteen thousand, three hundred ninety".