414984780 has 288 divisors, whose sum is σ = 1530023040. Its totient is φ = 89026560.

The previous prime is 414984767. The next prime is 414984781. The reversal of 414984780 is 87489414.

414984780 is a `hidden beast` number, since 41 + 498 + 47 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (414984781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1498002 + ... + 1498278.

It is an arithmetic number, because the mean of its divisors is an integer number (5312580).

Almost surely, 2^414984780 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 414984780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765011520).

414984780 is an abundant number, since it is smaller than the sum of its proper divisors (1115038260).

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

414984780 is a wasteful number, since it uses less digits than its factorization.

414984780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 414984780 is about 20371.1752238304. The cubic root of 414984780 is about 745.8944738812.

The spelling of 414984780 in words is "four hundred fourteen million, nine hundred eighty-four thousand, seven hundred eighty".