434680240 has 40 divisors (see below), whose sum is σ = 1013015520. Its totient is φ = 173462016.

The previous prime is 434680231. The next prime is 434680241. The reversal of 434680240 is 42086434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×434680240² = 377893822092915200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434680241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28932 + ... + 41308.

It is an arithmetic number, because the mean of its divisors is an integer number (25325388).

Almost surely, 2^434680240 is an apocalyptic number.

434680240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434680240 is an abundant number, since it is smaller than the sum of its proper divisors (578335280).

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

434680240 is a wasteful number, since it uses less digits than its factorization.

434680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 434680240 is about 20848.9865461130. The cubic root of 434680240 is about 757.5127832078.

The spelling of 434680240 in words is "four hundred thirty-four million, six hundred eighty thousand, two hundred forty".