429942400 has 192 divisors, whose sum is σ = 1135474200. Its totient is φ = 160563200.

The previous prime is 429942397. The next prime is 429942437. The reversal of 429942400 is 4249924.

It can be written as a sum of positive squares in 12 ways, for example, as 49224256 + 380718144 = 7016^2 + 19512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3804744 + ... + 3804856.

Almost surely, 2^429942400 is an apocalyptic number.

429942400 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 429942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567737100).

429942400 is an abundant number, since it is smaller than the sum of its proper divisors (705531800).

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

429942400 is a wasteful number, since it uses less digits than its factorization.

429942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 429942400 is about 20735.0524474861. The cubic root of 429942400 is about 754.7505279302.

The spelling of 429942400 in words is "four hundred twenty-nine million, nine hundred forty-two thousand, four hundred".