429343488 has 162 divisors, whose sum is σ = 1440388404. Its totient is φ = 122637312.

The previous prime is 429343477. The next prime is 429343489. The reversal of 429343488 is 884343924.

429343488 is a `hidden beast` number, since 42 + 93 + 43 + 488 = 666.

It is a super-2 number, since 2×429343488² = 368671661376012288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (429343489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110995 + ... + 114797.

Almost surely, 2^429343488 is an apocalyptic number.

429343488 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 429343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720194202).

429343488 is an abundant number, since it is smaller than the sum of its proper divisors (1011044916).

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

429343488 is a wasteful number, since it uses less digits than its factorization.

429343488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3815 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 429343488 is about 20720.6053965612. The cubic root of 429343488 is about 754.3999079373.

The spelling of 429343488 in words is "four hundred twenty-nine million, three hundred forty-three thousand, four hundred eighty-eight".