429366864 has 80 divisors (see below), whose sum is σ = 1205319680. Its totient is φ = 131207040.

The previous prime is 429366851. The next prime is 429366869. The reversal of 429366864 is 468663924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429366869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20679 + ... + 35865.

It is an arithmetic number, because the mean of its divisors is an integer number (15066496).

Almost surely, 2^429366864 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 429366864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602659840).

429366864 is an abundant number, since it is smaller than the sum of its proper divisors (775952816).

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

429366864 is a wasteful number, since it uses less digits than its factorization.

429366864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15248 (or 15242 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 429366864 is about 20721.1694650664. The cubic root of 429366864 is about 754.4135990205.

The spelling of 429366864 in words is "four hundred twenty-nine million, three hundred sixty-six thousand, eight hundred sixty-four".