429041000 has 64 divisors (see below), whose sum is σ = 1007370000. Its totient is φ = 171033600.

The previous prime is 429040987. The next prime is 429041017. The reversal of 429041000 is 140924.

It can be written as a sum of positive squares in 8 ways, for example, as 161849284 + 267191716 = 12722^2 + 16346^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 408476 + ... + 409524.

Almost surely, 2^429041000 is an apocalyptic number.

429041000 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 429041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503685000).

429041000 is an abundant number, since it is smaller than the sum of its proper divisors (578329000).

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

429041000 is a wasteful number, since it uses less digits than its factorization.

429041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 429041000 is about 20713.3049028879. The cubic root of 429041000 is about 754.2226989832. Note that the first 3 decimals are identical.

Adding to 429041000 its reverse (140924), we get a palindrome (429181924).

The spelling of 429041000 in words is "four hundred twenty-nine million, forty-one thousand".