429795840 has 160 divisors (see below), whose sum is σ = 1385911296. Its totient is φ = 113623040.

The previous prime is 429795833. The next prime is 429795869. The reversal of 429795840 is 48597924.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 429795840.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1466734 + ... + 1467026.

Almost surely, 2^429795840 is an apocalyptic number.

429795840 is a gapful number since it is divisible by the number (40) 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 429795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692955648).

429795840 is an abundant number, since it is smaller than the sum of its proper divisors (956115456).

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

429795840 is a wasteful number, since it uses less digits than its factorization.

429795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 429795840 is about 20731.5180341431. The cubic root of 429795840 is about 754.6647576745.

The spelling of 429795840 in words is "four hundred twenty-nine million, seven hundred ninety-five thousand, eight hundred forty".