429828240 has 40 divisors (see below), whose sum is σ = 1332468288. Its totient is φ = 114620800.

The previous prime is 429828239. The next prime is 429828277. The reversal of 429828240 is 42828924.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895236 + ... + 895715.

Almost surely, 2^429828240 is an apocalyptic number.

429828240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429828240 is an abundant number, since it is smaller than the sum of its proper divisors (902640048).

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

429828240 is a wasteful number, since it uses less digits than its factorization.

429828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790967 (or 1790961 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 429828240 is about 20732.2994383160. The cubic root of 429828240 is about 754.6837205723.

The spelling of 429828240 in words is "four hundred twenty-nine million, eight hundred twenty-eight thousand, two hundred forty".