414872880 has 160 divisors (see below), whose sum is σ = 1322915328. Its totient is φ = 107520000.

The previous prime is 414872867. The next prime is 414872903. The reversal of 414872880 is 88278414.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1652755 + ... + 1653005.

Almost surely, 2^414872880 is an apocalyptic number.

414872880 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 414872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661457664).

414872880 is an abundant number, since it is smaller than the sum of its proper divisors (908042448).

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

414872880 is a wasteful number, since it uses less digits than its factorization.

414872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 414872880 is about 20368.4285108105. The cubic root of 414872880 is about 745.8274247596.

It can be divided in two parts, 4148 and 72880, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 414872880 in words is "four hundred fourteen million, eight hundred seventy-two thousand, eight hundred eighty".