429238152 has 192 divisors, whose sum is σ = 1392168960. Its totient is φ = 116899200.

The previous prime is 429238133. The next prime is 429238153. The reversal of 429238152 is 251832924.

It is a happy number.

It is a super-2 number, since 2×429238152² = 368490782264750208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (429238153) 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, 1296627 + ... + 1296957.

It is an arithmetic number, because the mean of its divisors is an integer number (7250880).

Almost surely, 2^429238152 is an apocalyptic number.

429238152 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 429238152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696084480).

429238152 is an abundant number, since it is smaller than the sum of its proper divisors (962930808).

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

429238152 is a wasteful number, since it uses less digits than its factorization.

429238152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 429238152 is about 20718.0634230133. The cubic root of 429238152 is about 754.3382075579.

The spelling of 429238152 in words is "four hundred twenty-nine million, two hundred thirty-eight thousand, one hundred fifty-two".