429117964 has 48 divisors (see below), whose sum is σ = 866436480. Its totient is φ = 183911040.

The previous prime is 429117911. The next prime is 429117977. The reversal of 429117964 is 469711924.

It is a self number, because there is not a number n which added to its sum of digits gives 429117964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193687 + ... + 195889.

It is an arithmetic number, because the mean of its divisors is an integer number (18050760).

Almost surely, 2^429117964 is an apocalyptic number.

429117964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429117964 is an abundant number, since it is smaller than the sum of its proper divisors (437318516).

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

429117964 is a wasteful number, since it uses less digits than its factorization.

429117964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2468 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 429117964 is about 20715.1626592697. The cubic root of 429117964 is about 754.2677953145.

The spelling of 429117964 in words is "four hundred twenty-nine million, one hundred seventeen thousand, nine hundred sixty-four".