429720640 has 28 divisors (see below), whose sum is σ = 1023273036. Its totient is φ = 171888128.

The previous prime is 429720623. The next prime is 429720673. The reversal of 429720640 is 46027924.

It can be written as a sum of positive squares in 2 ways, for example, as 175509504 + 254211136 = 13248^2 + 15944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 429720596 and 429720605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671119 + ... + 671758.

Almost surely, 2^429720640 is an apocalyptic number.

429720640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429720640 is an abundant number, since it is smaller than the sum of its proper divisors (593552396).

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

429720640 is a wasteful number, since it uses less digits than its factorization.

429720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342894 (or 1342884 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 429720640 is about 20729.7042911856. The cubic root of 429720640 is about 754.6207413496.

The spelling of 429720640 in words is "four hundred twenty-nine million, seven hundred twenty thousand, six hundred forty".