415466880 has 128 divisors (see below), whose sum is σ = 1330218720. Its totient is φ = 110297088.

The previous prime is 415466879. The next prime is 415466941. The reversal of 415466880 is 88664514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×415466880² = 345225456753868800, 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 15 ways as a sum of consecutive naturals, for example, 677454 + ... + 678066.

Almost surely, 2^415466880 is an apocalyptic number.

415466880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665109360).

415466880 is an abundant number, since it is smaller than the sum of its proper divisors (914751840).

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

415466880 is a wasteful number, since it uses less digits than its factorization.

415466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 415466880 is about 20383.0046852764. The cubic root of 415466880 is about 746.1832046026.

The spelling of 415466880 in words is "four hundred fifteen million, four hundred sixty-six thousand, eight hundred eighty".