429638400 has 162 divisors, whose sum is σ = 1536260180. Its totient is φ = 114554880.

The previous prime is 429638383. The next prime is 429638401. The reversal of 429638400 is 4836924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (429638401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53871 + ... + 61329.

Almost surely, 2^429638400 is an apocalyptic number.

429638400 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 429638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768130090).

429638400 is an abundant number, since it is smaller than the sum of its proper divisors (1106621780).

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

429638400 is a wasteful number, since it uses less digits than its factorization.

429638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 429638400 is about 20727.7205693245. The cubic root of 429638400 is about 754.5725984684.

The spelling of 429638400 in words is "four hundred twenty-nine million, six hundred thirty-eight thousand, four hundred".