429950430 has 320 divisors, whose sum is σ = 1502645760. Its totient is φ = 85660416.

The previous prime is 429950429. The next prime is 429950459. The reversal of 429950430 is 34059924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1400337 + ... + 1400643.

It is an arithmetic number, because the mean of its divisors is an integer number (4695768).

Almost surely, 2^429950430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429950430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751322880).

429950430 is an abundant number, since it is smaller than the sum of its proper divisors (1072695330).

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

429950430 is a wasteful number, since it uses less digits than its factorization.

429950430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 429950430 is about 20735.2460800445. The cubic root of 429950430 is about 754.7552267062.

The spelling of 429950430 in words is "four hundred twenty-nine million, nine hundred fifty thousand, four hundred thirty".