429364944 has 120 divisors (see below), whose sum is σ = 1231206912. Its totient is φ = 139645440.

The previous prime is 429364927. The next prime is 429364951. The reversal of 429364944 is 449463924.

It is a super-2 number, since 2×429364944² = 368708510272246272, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 429364944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1842652 + ... + 1842884.

Almost surely, 2^429364944 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 429364944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615603456).

429364944 is an abundant number, since it is smaller than the sum of its proper divisors (801841968).

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

429364944 is a wasteful number, since it uses less digits than its factorization.

429364944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 429364944 is about 20721.1231355832. The cubic root of 429364944 is about 754.4124745149.

The spelling of 429364944 in words is "four hundred twenty-nine million, three hundred sixty-four thousand, nine hundred forty-four".