429811872 has 48 divisors (see below), whose sum is σ = 1289437632. Its totient is φ = 122803200.

The previous prime is 429811859. The next prime is 429811891. The reversal of 429811872 is 278118924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 319129 + ... + 320472.

It is an arithmetic number, because the mean of its divisors is an integer number (26863284).

Almost surely, 2^429811872 is an apocalyptic number.

429811872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

429811872 is an abundant number, since it is smaller than the sum of its proper divisors (859625760).

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

429811872 is a wasteful number, since it uses less digits than its factorization.

429811872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639621 (or 639613 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 429811872 is about 20731.9046881853. The cubic root of 429811872 is about 754.6741409163.

The spelling of 429811872 in words is "four hundred twenty-nine million, eight hundred eleven thousand, eight hundred seventy-two".