429770952 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 125314560.

The previous prime is 429770933. The next prime is 429770959. The reversal of 429770952 is 259077924.

It is a junction number, because it is equal to n+sod(n) for n = 429770898 and 429770907.

It is not an unprimeable number, because it can be changed into a prime (429770959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1927113 + ... + 1927335.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^429770952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429770952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

429770952 is an abundant number, since it is smaller than the sum of its proper divisors (891112248).

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

429770952 is a wasteful number, since it uses less digits than its factorization.

429770952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 429770952 is about 20730.9177799730. The cubic root of 429770952 is about 754.6501907125.

The spelling of 429770952 in words is "four hundred twenty-nine million, seven hundred seventy thousand, nine hundred fifty-two".