434298880 has 112 divisors (see below), whose sum is σ = 1089928224. Its totient is φ = 165806080.

The previous prime is 434298869. The next prime is 434298901. The reversal of 434298880 is 88892434.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 434298880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941850 + ... + 942310.

It is an arithmetic number, because the mean of its divisors is an integer number (9731502).

Almost surely, 2^434298880 is an apocalyptic number.

434298880 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 434298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544964112).

434298880 is an abundant number, since it is smaller than the sum of its proper divisors (655629344).

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

434298880 is an equidigital number, since it uses as much as digits as its factorization.

434298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 434298880 is about 20839.8387709694. The cubic root of 434298880 is about 757.2911876743.

The spelling of 434298880 in words is "four hundred thirty-four million, two hundred ninety-eight thousand, eight hundred eighty".