429744440 has 32 divisors (see below), whose sum is σ = 972730080. Its totient is φ = 170865792.

The previous prime is 429744439. The next prime is 429744457. The reversal of 429744440 is 44447924.

It is a junction number, because it is equal to n+sod(n) for n = 429744394 and 429744403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25487 + ... + 38846.

It is an arithmetic number, because the mean of its divisors is an integer number (30397815).

Almost surely, 2^429744440 is an apocalyptic number.

429744440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429744440 is an abundant number, since it is smaller than the sum of its proper divisors (542985640).

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

429744440 is a wasteful number, since it uses less digits than its factorization.

429744440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64511 (or 64507 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 429744440 is about 20730.2783387006. The cubic root of 429744440 is about 754.6346726036.

The spelling of 429744440 in words is "four hundred twenty-nine million, seven hundred forty-four thousand, four hundred forty".