414351980 has 48 divisors (see below), whose sum is σ = 996522240. Its totient is φ = 141766848.

The previous prime is 414351961. The next prime is 414351991. The reversal of 414351980 is 89153414.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 414351980.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70391 + ... + 76049.

It is an arithmetic number, because the mean of its divisors is an integer number (20760880).

Almost surely, 2^414351980 is an apocalyptic number.

It is an amenable number.

414351980 is an abundant number, since it is smaller than the sum of its proper divisors (582170260).

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

414351980 is a wasteful number, since it uses less digits than its factorization.

414351980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 414351980 is about 20355.6375483550. The cubic root of 414351980 is about 745.5151490127.

The spelling of 414351980 in words is "four hundred fourteen million, three hundred fifty-one thousand, nine hundred eighty".