414139680 has 72 divisors (see below), whose sum is σ = 1413256572. Its totient is φ = 110436864.

The previous prime is 414139667. The next prime is 414139699. The reversal of 414139680 is 86931414.

It can be written as a sum of positive squares in 2 ways, for example, as 395373456 + 18766224 = 19884^2 + 4332^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142359 + ... + 145238.

Almost surely, 2^414139680 is an apocalyptic number.

414139680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414139680 is an abundant number, since it is smaller than the sum of its proper divisors (999116892).

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

414139680 is a wasteful number, since it uses less digits than its factorization.

414139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287618 (or 287607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 414139680 is about 20350.4221086443. The cubic root of 414139680 is about 745.3878016424.

The spelling of 414139680 in words is "four hundred fourteen million, one hundred thirty-nine thousand, six hundred eighty".