429821952 has 208 divisors, whose sum is σ = 1383951360. Its totient is φ = 115900416.

The previous prime is 429821947. The next prime is 429821957. The reversal of 429821952 is 259128924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (429821947) and next prime (429821957).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (429821957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634173 + ... + 1634435.

Almost surely, 2^429821952 is an apocalyptic number.

429821952 is a gapful number since it is divisible by the number (42) 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 429821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691975680).

429821952 is an abundant number, since it is smaller than the sum of its proper divisors (954129408).

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

429821952 is a wasteful number, since it uses less digits than its factorization.

429821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 429821952 is about 20732.1477903279. The cubic root of 429821952 is about 754.6800404400.

The spelling of 429821952 in words is "four hundred twenty-nine million, eight hundred twenty-one thousand, nine hundred fifty-two".