415294838280 has 192 divisors, whose sum is σ = 1556175404160. Its totient is φ = 94084429824.

The previous prime is 415294838269. The next prime is 415294838323. The reversal of 415294838280 is 82838492514.

415294838280 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 9 + 483 + 82 + 80 = 666.

It is a super-2 number, since 2×415294838280² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444442 + ... + 1013961.

It is an arithmetic number, because the mean of its divisors is an integer number (8105080230).

Almost surely, 2^415294838280 is an apocalyptic number.

415294838280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415294838280 is an abundant number, since it is smaller than the sum of its proper divisors (1140880565880).

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

415294838280 is a wasteful number, since it uses less digits than its factorization.

415294838280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458540 (or 1458533 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 415294838280 in words is "four hundred fifteen billion, two hundred ninety-four million, eight hundred thirty-eight thousand, two hundred eighty".