434694960 has 120 divisors (see below), whose sum is σ = 1668420000. Its totient is φ = 99357696.

The previous prime is 434694959. The next prime is 434695013. The reversal of 434694960 is 69496434.

It is a happy number.

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 (45).

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, 38085 + ... + 48164.

It is an arithmetic number, because the mean of its divisors is an integer number (13903500).

Almost surely, 2^434694960 is an apocalyptic number.

434694960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434694960 is an abundant number, since it is smaller than the sum of its proper divisors (1233725040).

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

434694960 is a wasteful number, since it uses less digits than its factorization.

434694960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86275 (or 86266 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 434694960 is about 20849.3395578853. The cubic root of 434694960 is about 757.5213339088.

The spelling of 434694960 in words is "four hundred thirty-four million, six hundred ninety-four thousand, nine hundred sixty".