429189400 has 48 divisors (see below), whose sum is σ = 1007792640. Its totient is φ = 169968000.

The previous prime is 429189373. The next prime is 429189413. The reversal of 429189400 is 4981924.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 429189400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9577 + ... + 30823.

It is an arithmetic number, because the mean of its divisors is an integer number (20995680).

Almost surely, 2^429189400 is an apocalyptic number.

429189400 is a gapful number since it is divisible by the number (40) 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 429189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503896320).

429189400 is an abundant number, since it is smaller than the sum of its proper divisors (578603240).

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

429189400 is a wasteful number, since it uses less digits than its factorization.

429189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21364 (or 21355 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 429189400 is about 20716.8868317612. The cubic root of 429189400 is about 754.3096477413.

The spelling of 429189400 in words is "four hundred twenty-nine million, one hundred eighty-nine thousand, four hundred".