429401500 has 96 divisors (see below), whose sum is σ = 1034534592. Its totient is φ = 154400000.

The previous prime is 429401471. The next prime is 429401503. The reversal of 429401500 is 5104924.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429401503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555114 + ... + 555886.

It is an arithmetic number, because the mean of its divisors is an integer number (10776402).

Almost surely, 2^429401500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517267296).

429401500 is an abundant number, since it is smaller than the sum of its proper divisors (605133092).

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

429401500 is a wasteful number, since it uses less digits than its factorization.

429401500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 429401500 is about 20722.0052118515. The cubic root of 429401500 is about 754.4338840564.

The spelling of 429401500 in words is "four hundred twenty-nine million, four hundred one thousand, five hundred".