434980080 has 240 divisors, whose sum is σ = 1515331584. Its totient is φ = 111767040.

The previous prime is 434980079. The next prime is 434980093. The reversal of 434980080 is 80089434.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 3424977 + ... + 3425103.

Almost surely, 2^434980080 is an apocalyptic number.

434980080 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 434980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757665792).

434980080 is an abundant number, since it is smaller than the sum of its proper divisors (1080351504).

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

434980080 is a wasteful number, since it uses less digits than its factorization.

434980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 434980080 is about 20856.1760636987. The cubic root of 434980080 is about 757.6869192026.

The spelling of 434980080 in words is "four hundred thirty-four million, nine hundred eighty thousand, eighty".