429943444 has 36 divisors (see below), whose sum is σ = 905434740. Its totient is φ = 177905280.

The previous prime is 429943429. The next prime is 429943487. The reversal of 429943444 is 444349924.

It can be written as a sum of positive squares in 2 ways, for example, as 366263044 + 63680400 = 19138^2 + 7980^2 .

It is a super-2 number, since 2×429943444² = 369702730077162272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 429943444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32137 + ... + 43504.

It is an arithmetic number, because the mean of its divisors is an integer number (25150965).

Almost surely, 2^429943444 is an apocalyptic number.

It is an amenable number.

429943444 is an abundant number, since it is smaller than the sum of its proper divisors (475491296).

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

429943444 is a wasteful number, since it uses less digits than its factorization.

429943444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75688 (or 75679 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The square root of 429943444 is about 20735.0776222323. The cubic root of 429943444 is about 754.7511388329.

The spelling of 429943444 in words is "four hundred twenty-nine million, nine hundred forty-three thousand, four hundred forty-four".