429141888 has 288 divisors, whose sum is σ = 1485597360. Its totient is φ = 120932352.

The previous prime is 429141883. The next prime is 429141899. The reversal of 429141888 is 888141924.

429141888 is a `hidden beast` number, since 429 + 141 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429141883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878620 + ... + 5878692.

Almost surely, 2^429141888 is an apocalyptic number.

429141888 is a gapful number since it is divisible by the number (48) 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 429141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742798680).

429141888 is an abundant number, since it is smaller than the sum of its proper divisors (1056455472).

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

429141888 is an frugal number, since it uses more digits than its factorization.

429141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 429141888 is about 20715.7401026369. The cubic root of 429141888 is about 754.2818122584.

The spelling of 429141888 in words is "four hundred twenty-nine million, one hundred forty-one thousand, eight hundred eighty-eight".