434803680 has 96 divisors (see below), whose sum is σ = 1521828000. Its totient is φ = 115946496.

The previous prime is 434803631. The next prime is 434803693. The reversal of 434803680 is 86308434.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 46005 + ... + 54644.

It is an arithmetic number, because the mean of its divisors is an integer number (15852375).

Almost surely, 2^434803680 is an apocalyptic number.

434803680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434803680 is an abundant number, since it is smaller than the sum of its proper divisors (1087024320).

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

434803680 is a wasteful number, since it uses less digits than its factorization.

434803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100673 (or 100659 counting only the distinct ones).

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

The square root of 434803680 is about 20851.9466717139. The cubic root of 434803680 is about 757.5844822940.

The spelling of 434803680 in words is "four hundred thirty-four million, eight hundred three thousand, six hundred eighty".