429975456 has 48 divisors (see below), whose sum is σ = 1165102848. Its totient is φ = 138700800.

The previous prime is 429975437. The next prime is 429975463. The reversal of 429975456 is 654579924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 429975399 and 429975408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69265 + ... + 75216.

It is an arithmetic number, because the mean of its divisors is an integer number (24272976).

Almost surely, 2^429975456 is an apocalyptic number.

It is an amenable number.

429975456 is an abundant number, since it is smaller than the sum of its proper divisors (735127392).

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

429975456 is a wasteful number, since it uses less digits than its factorization.

429975456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144525 (or 144517 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 429975456 is about 20735.8495364911. The cubic root of 429975456 is about 754.7698703616.

The spelling of 429975456 in words is "four hundred twenty-nine million, nine hundred seventy-five thousand, four hundred fifty-six".