415083280 has 80 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 161800704.

The previous prime is 415083247. The next prime is 415083283. The reversal of 415083280 is 82380514.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (415083283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945301 + ... + 945739.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^415083280 is an apocalyptic number.

415083280 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 415083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

415083280 is an abundant number, since it is smaller than the sum of its proper divisors (574853360).

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

415083280 is a wasteful number, since it uses less digits than its factorization.

415083280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 415083280 is about 20373.5927121360. The cubic root of 415083280 is about 745.9534839116.

The spelling of 415083280 in words is "four hundred fifteen million, eighty-three thousand, two hundred eighty".