429488000 has 128 divisors (see below), whose sum is σ = 1131343200. Its totient is φ = 161587200.

The previous prime is 429487973. The next prime is 429488041. The reversal of 429488000 is 884924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271211 + ... + 272789.

Almost surely, 2^429488000 is an apocalyptic number.

429488000 is a gapful number since it is divisible by the number (40) 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 429488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565671600).

429488000 is an abundant number, since it is smaller than the sum of its proper divisors (701855200).

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

429488000 is a wasteful number, since it uses less digits than its factorization.

429488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 429488000 is about 20724.0922599761. The cubic root of 429488000 is about 754.4845391733.

The spelling of 429488000 in words is "four hundred twenty-nine million, four hundred eighty-eight thousand".