414523980 has 168 divisors, whose sum is σ = 1406192592. Its totient is φ = 102036672.

The previous prime is 414523957. The next prime is 414524021. The reversal of 414523980 is 89325414.

414523980 is a `hidden beast` number, since 41 + 4 + 523 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1053 × 405 × 972.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31886454 + ... + 31886466.

It is an arithmetic number, because the mean of its divisors is an integer number (8370194).

Almost surely, 2^414523980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414523980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703096296).

414523980 is an abundant number, since it is smaller than the sum of its proper divisors (991668612).

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

414523980 is an frugal number, since it uses more digits than its factorization.

414523980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 414523980 is about 20359.8619838151. The cubic root of 414523980 is about 745.6182906838.

The spelling of 414523980 in words is "four hundred fourteen million, five hundred twenty-three thousand, nine hundred eighty".