415478880 has 72 divisors (see below), whose sum is σ = 1417826592. Its totient is φ = 110793984.

The previous prime is 415478879. The next prime is 415478881. The reversal of 415478880 is 88874514.

It is an interprime number because it is at equal distance from previous prime (415478879) and next prime (415478881).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415478881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142824 + ... + 145703.

It is an arithmetic number, because the mean of its divisors is an integer number (19692036).

Almost surely, 2^415478880 is an apocalyptic number.

415478880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415478880 is an abundant number, since it is smaller than the sum of its proper divisors (1002347712).

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

415478880 is a wasteful number, since it uses less digits than its factorization.

415478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288548 (or 288537 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 415478880 is about 20383.2990460328. The cubic root of 415478880 is about 746.1903885785.

The spelling of 415478880 in words is "four hundred fifteen million, four hundred seventy-eight thousand, eight hundred eighty".