429249672 has 64 divisors (see below), whose sum is σ = 1255128000. Its totient is φ = 135551232.

The previous prime is 429249671. The next prime is 429249673. The reversal of 429249672 is 276942924.

It is a happy number.

429249672 is a `hidden beast` number, since 4 + 2 + 92 + 496 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (429249671) and next prime (429249673).

It is not an unprimeable number, because it can be changed into a prime (429249671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48193 + ... + 56400.

It is an arithmetic number, because the mean of its divisors is an integer number (19611375).

Almost surely, 2^429249672 is an apocalyptic number.

It is an amenable number.

429249672 is an abundant number, since it is smaller than the sum of its proper divisors (825878328).

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

429249672 is a wasteful number, since it uses less digits than its factorization.

429249672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104627 (or 104617 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 429249672 is about 20718.3414394106. The cubic root of 429249672 is about 754.3449558695.

The spelling of 429249672 in words is "four hundred twenty-nine million, two hundred forty-nine thousand, six hundred seventy-two".