434659680 has 576 divisors, whose sum is σ = 1902071808. Its totient is φ = 87920640.

The previous prime is 434659679. The next prime is 434659697. The reversal of 434659680 is 86956434.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062187 + ... + 4062293.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^434659680 is an apocalyptic number.

434659680 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 434659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

434659680 is an abundant number, since it is smaller than the sum of its proper divisors (1467412128).

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

434659680 is a wasteful number, since it uses less digits than its factorization.

434659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 434659680 is about 20848.4934707523. The cubic root of 434659680 is about 757.5008397860.

The spelling of 434659680 in words is "four hundred thirty-four million, six hundred fifty-nine thousand, six hundred eighty".