415190880 has 192 divisors, whose sum is σ = 1565161920. Its totient is φ = 102187008.

The previous prime is 415190873. The next prime is 415190921. The reversal of 415190880 is 88091514.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 52464 + ... + 59856.

It is an arithmetic number, because the mean of its divisors is an integer number (8151885).

Almost surely, 2^415190880 is an apocalyptic number.

415190880 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 415190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782580960).

415190880 is an abundant number, since it is smaller than the sum of its proper divisors (1149971040).

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

415190880 is a wasteful number, since it uses less digits than its factorization.

415190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 415190880 is about 20376.2332142131. The cubic root of 415190880 is about 746.0179349621.

The spelling of 415190880 in words is "four hundred fifteen million, one hundred ninety thousand, eight hundred eighty".