429987348 has 108 divisors (see below), whose sum is σ = 1272578580. Its totient is φ = 122056704.

The previous prime is 429987281. The next prime is 429987373. The reversal of 429987348 is 843789924.

429987348 is a `hidden beast` number, since 4 + 299 + 8 + 7 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 256064004 = 13188^2 + 16002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 429987294 and 429987303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304468 + ... + 305876.

It is an arithmetic number, because the mean of its divisors is an integer number (11783135).

Almost surely, 2^429987348 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 429987348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636289290).

429987348 is an abundant number, since it is smaller than the sum of its proper divisors (842591232).

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

429987348 is a wasteful number, since it uses less digits than its factorization.

429987348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1594 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 429987348 is about 20736.1362842744. The cubic root of 429987348 is about 754.7768286196.

The spelling of 429987348 in words is "four hundred twenty-nine million, nine hundred eighty-seven thousand, three hundred forty-eight".