415885920 has 96 divisors (see below), whose sum is σ = 1345504608. Its totient is φ = 107900928.

The previous prime is 415885913. The next prime is 415885937. The reversal of 415885920 is 29588514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×415885920² = 345922196908492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6052 + ... + 29468.

It is an arithmetic number, because the mean of its divisors is an integer number (14015673).

Almost surely, 2^415885920 is an apocalyptic number.

415885920 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 415885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672752304).

415885920 is an abundant number, since it is smaller than the sum of its proper divisors (929618688).

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

415885920 is a wasteful number, since it uses less digits than its factorization.

415885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23472 (or 23464 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 415885920 is about 20393.2812465282. The cubic root of 415885920 is about 746.4339871645.

The spelling of 415885920 in words is "four hundred fifteen million, eight hundred eighty-five thousand, nine hundred twenty".