429051168 has 480 divisors, whose sum is σ = 1659740544. Its totient is φ = 105504768.

The previous prime is 429051163. The next prime is 429051193. The reversal of 429051168 is 861150924.

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

It is not an unprimeable number, because it can be changed into a prime (429051163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4009771 + ... + 4009877.

Almost surely, 2^429051168 is an apocalyptic number.

429051168 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 429051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829870272).

429051168 is an abundant number, since it is smaller than the sum of its proper divisors (1230689376).

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

429051168 is a wasteful number, since it uses less digits than its factorization.

429051168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 429051168 is about 20713.5503475382. The cubic root of 429051168 is about 754.2286571363.

The spelling of 429051168 in words is "four hundred twenty-nine million, fifty-one thousand, one hundred sixty-eight".