429002496 has 108 divisors (see below), whose sum is σ = 1332160648. Its totient is φ = 131991552.

The previous prime is 429002491. The next prime is 429002503. The reversal of 429002496 is 694200924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 429002496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429002491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22791 + ... + 37113.

Almost surely, 2^429002496 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 429002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666080324).

429002496 is an abundant number, since it is smaller than the sum of its proper divisors (903158152).

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

429002496 is a wasteful number, since it uses less digits than its factorization.

429002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14358 (or 14341 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 429002496 is about 20712.3754311281. The cubic root of 429002496 is about 754.2001359029.

The spelling of 429002496 in words is "four hundred twenty-nine million, two thousand, four hundred ninety-six".