429252000 has 96 divisors (see below), whose sum is σ = 1406268864. Its totient is φ = 114464000.

The previous prime is 429251981. The next prime is 429252037. The reversal of 429252000 is 252924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5886 + ... + 29885.

It is an arithmetic number, because the mean of its divisors is an integer number (14648634).

Almost surely, 2^429252000 is an apocalyptic number.

429252000 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 429252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703134432).

429252000 is an abundant number, since it is smaller than the sum of its proper divisors (977016864).

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

429252000 is a wasteful number, since it uses less digits than its factorization.

429252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35799 (or 35781 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 429252000 is about 20718.3976214378. The cubic root of 429252000 is about 754.3463195761.

The spelling of 429252000 in words is "four hundred twenty-nine million, two hundred fifty-two thousand".