414468280 has 128 divisors (see below), whose sum is σ = 1037836800. Its totient is φ = 148262400.

The previous prime is 414468259. The next prime is 414468289. The reversal of 414468280 is 82864414.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414468289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289790 + ... + 2289970.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^414468280 is an apocalyptic number.

414468280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414468280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

414468280 is an abundant number, since it is smaller than the sum of its proper divisors (623368520).

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

414468280 is a wasteful number, since it uses less digits than its factorization.

414468280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 414468280 is about 20358.4940503958. The cubic root of 414468280 is about 745.5848926971.

The spelling of 414468280 in words is "four hundred fourteen million, four hundred sixty-eight thousand, two hundred eighty".