429242736 has 80 divisors (see below), whose sum is σ = 1212116864. Its totient is φ = 130090752.

The previous prime is 429242729. The next prime is 429242747. The reversal of 429242736 is 637242924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 429242694 and 429242703.

It is a congruent number.

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, 36675 + ... + 46941.

Almost surely, 2^429242736 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 429242736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606058432).

429242736 is an abundant number, since it is smaller than the sum of its proper divisors (782874128).

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

429242736 is a wasteful number, since it uses less digits than its factorization.

429242736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10352 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 429242736 is about 20718.1740508183. The cubic root of 429242736 is about 754.3408928380.

The spelling of 429242736 in words is "four hundred twenty-nine million, two hundred forty-two thousand, seven hundred thirty-six".