429553152 has 320 divisors, whose sum is σ = 1524188160. Its totient is φ = 116785152.

The previous prime is 429553123. The next prime is 429553153. The reversal of 429553152 is 251355924.

It is a happy number.

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

Its product of digits (54000) is a multiple of the sum of its prime factors (250).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429553153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225568 + ... + 2225760.

It is an arithmetic number, because the mean of its divisors is an integer number (4763088).

Almost surely, 2^429553152 is an apocalyptic number.

429553152 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 429553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762094080).

429553152 is an abundant number, since it is smaller than the sum of its proper divisors (1094635008).

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

429553152 is a wasteful number, since it uses less digits than its factorization.

429553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 429553152 is about 20725.6640906872. The cubic root of 429553152 is about 754.5226882339.

The spelling of 429553152 in words is "four hundred twenty-nine million, five hundred fifty-three thousand, one hundred fifty-two".