429504768 has 360 divisors, whose sum is σ = 1602659520. Its totient is φ = 111144960.

The previous prime is 429504763. The next prime is 429504791. The reversal of 429504768 is 867405924.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (429504763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596538 + ... + 1596806.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832).

Almost surely, 2^429504768 is an apocalyptic number.

429504768 is a gapful number since it is divisible by the number (48) 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 429504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

429504768 is an abundant number, since it is smaller than the sum of its proper divisors (1173154752).

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

429504768 is a wasteful number, since it uses less digits than its factorization.

429504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 429504768 is about 20724.4968093317. The cubic root of 429504768 is about 754.4943578660.

The spelling of 429504768 in words is "four hundred twenty-nine million, five hundred four thousand, seven hundred sixty-eight".