415276120 has 64 divisors (see below), whose sum is σ = 1074150720. Its totient is φ = 141540864.

The previous prime is 415276097. The next prime is 415276139. The reversal of 415276120 is 21672514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44154 + ... + 52726.

It is an arithmetic number, because the mean of its divisors is an integer number (16783605).

Almost surely, 2^415276120 is an apocalyptic number.

415276120 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 415276120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537075360).

415276120 is an abundant number, since it is smaller than the sum of its proper divisors (658874600).

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

415276120 is a wasteful number, since it uses less digits than its factorization.

415276120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 415276120 is about 20378.3247594104. The cubic root of 415276120 is about 746.0689847487.

The spelling of 415276120 in words is "four hundred fifteen million, two hundred seventy-six thousand, one hundred twenty".