429906444 has 48 divisors (see below), whose sum is σ = 1097120640. Its totient is φ = 129939840.

The previous prime is 429906437. The next prime is 429906461. The reversal of 429906444 is 444609924.

It is a junction number, because it is equal to n+sod(n) for n = 429906396 and 429906405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50007 + ... + 57969.

It is an arithmetic number, because the mean of its divisors is an integer number (22856680).

Almost surely, 2^429906444 is an apocalyptic number.

429906444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429906444 is an abundant number, since it is smaller than the sum of its proper divisors (667214196).

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

429906444 is a wasteful number, since it uses less digits than its factorization.

429906444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8390 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 429906444 is about 20734.1853951391. The cubic root of 429906444 is about 754.7294874633.

The spelling of 429906444 in words is "four hundred twenty-nine million, nine hundred six thousand, four hundred forty-four".