416306944 has 72 divisors (see below), whose sum is σ = 862257312. Its totient is φ = 200478720.

The previous prime is 416306939. The next prime is 416306953. The reversal of 416306944 is 449603614.

It is a super-2 number, since 2×416306944² = 346622943245238272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827397 + ... + 827899.

It is an arithmetic number, because the mean of its divisors is an integer number (11975796).

Almost surely, 2^416306944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431128656).

416306944 is an abundant number, since it is smaller than the sum of its proper divisors (445950368).

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

416306944 is an equidigital number, since it uses as much as digits as its factorization.

416306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 416306944 is about 20403.6012507596. The cubic root of 416306944 is about 746.6857874922.

The spelling of 416306944 in words is "four hundred sixteen million, three hundred six thousand, nine hundred forty-four".