415794444 has 96 divisors (see below), whose sum is σ = 1088618496. Its totient is φ = 122653440.

The previous prime is 415794439. The next prime is 415794469. The reversal of 415794444 is 444497514.

It is a happy number.

It is a super-2 number, since 2×415794444² = 345770039322538272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415794396 and 415794405.

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, 613834 + ... + 614510.

It is an arithmetic number, because the mean of its divisors is an integer number (11339776).

Almost surely, 2^415794444 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 415794444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544309248).

415794444 is an abundant number, since it is smaller than the sum of its proper divisors (672824052).

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

415794444 is a wasteful number, since it uses less digits than its factorization.

415794444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 853 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 415794444 is about 20391.0383256959. The cubic root of 415794444 is about 746.3792559678.

The spelling of 415794444 in words is "four hundred fifteen million, seven hundred ninety-four thousand, four hundred forty-four".