429899400 has 480 divisors, whose sum is σ = 1814883840. Its totient is φ = 92067840.

The previous prime is 429899387. The next prime is 429899401. The reversal of 429899400 is 4998924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429899401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1927689 + ... + 1927911.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^429899400 is an apocalyptic number.

429899400 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 429899400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907441920).

429899400 is an abundant number, since it is smaller than the sum of its proper divisors (1384984440).

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

429899400 is a wasteful number, since it uses less digits than its factorization.

429899400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 429899400 is about 20734.0155300414. The cubic root of 429899400 is about 754.7253653699.

The spelling of 429899400 in words is "four hundred twenty-nine million, eight hundred ninety-nine thousand, four hundred".