434368080 has 120 divisors (see below), whose sum is σ = 1463025408. Its totient is φ = 115492608.

The previous prime is 434368079. The next prime is 434368091. The reversal of 434368080 is 80863434.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332709 + ... + 334011.

Almost surely, 2^434368080 is an apocalyptic number.

434368080 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 434368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731512704).

434368080 is an abundant number, since it is smaller than the sum of its proper divisors (1028657328).

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

434368080 is a wasteful number, since it uses less digits than its factorization.

434368080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 434368080 is about 20841.4989863973. The cubic root of 434368080 is about 757.3314071095.

The spelling of 434368080 in words is "four hundred thirty-four million, three hundred sixty-eight thousand, eighty".