429228800 has 432 divisors, whose sum is σ = 1447740672. Its totient is φ = 121651200.

The previous prime is 429228781. The next prime is 429228847. The reversal of 429228800 is 8822924.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6406367 + ... + 6406433.

Almost surely, 2^429228800 is an apocalyptic number.

429228800 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 429228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723870336).

429228800 is an abundant number, since it is smaller than the sum of its proper divisors (1018511872).

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

429228800 is a wasteful number, since it uses less digits than its factorization.

429228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 429228800 is about 20717.8377250137. The cubic root of 429228800 is about 754.3327291522.

The spelling of 429228800 in words is "four hundred twenty-nine million, two hundred twenty-eight thousand, eight hundred".