429240096 has 144 divisors (see below), whose sum is σ = 1313020800. Its totient is φ = 132585984.

The previous prime is 429240079. The next prime is 429240121. The reversal of 429240096 is 690042924.

It is a tau number, because it is divible by the number of its divisors (144).

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 429240096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256350 + ... + 258018.

It is an arithmetic number, because the mean of its divisors is an integer number (9118200).

Almost surely, 2^429240096 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 429240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656510400).

429240096 is an abundant number, since it is smaller than the sum of its proper divisors (883780704).

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

429240096 is a wasteful number, since it uses less digits than its factorization.

429240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

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

The square root of 429240096 is about 20718.1103385420. The cubic root of 429240096 is about 754.3393463439.

The spelling of 429240096 in words is "four hundred twenty-nine million, two hundred forty thousand, ninety-six".