415434816 has 168 divisors, whose sum is σ = 1241459544. Its totient is φ = 132710400.

The previous prime is 415434793. The next prime is 415434821. The reversal of 415434816 is 618434514.

It can be written as a sum of positive squares in 4 ways, for example, as 204604416 + 210830400 = 14304^2 + 14520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152416 + ... + 2152608.

Almost surely, 2^415434816 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 415434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620729772).

415434816 is an abundant number, since it is smaller than the sum of its proper divisors (826024728).

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

415434816 is a wasteful number, since it uses less digits than its factorization.

415434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 415434816 is about 20382.2181324801. The cubic root of 415434816 is about 746.1640083401.

The spelling of 415434816 in words is "four hundred fifteen million, four hundred thirty-four thousand, eight hundred sixteen".