429391872 has 240 divisors, whose sum is σ = 1526725200. Its totient is φ = 113246208.

The previous prime is 429391847. The next prime is 429391873. The reversal of 429391872 is 278193924.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (217728) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429391873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33030138 + ... + 33030150.

It is an arithmetic number, because the mean of its divisors is an integer number (6361355).

Almost surely, 2^429391872 is an apocalyptic number.

429391872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763362600).

429391872 is an abundant number, since it is smaller than the sum of its proper divisors (1097333328).

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

429391872 is an frugal number, since it uses more digits than its factorization.

429391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 429391872 is about 20721.7728971244. The cubic root of 429391872 is about 754.4282453991.

The spelling of 429391872 in words is "four hundred twenty-nine million, three hundred ninety-one thousand, eight hundred seventy-two".