430400672 has 24 divisors (see below), whose sum is σ = 912533076. Its totient is φ = 198646272.

The previous prime is 430400653. The next prime is 430400699. The reversal of 430400672 is 276004034.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 427827856 + 2572816 = 20684^2 + 1604^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 3 ways as a sum of consecutive naturals, for example, 516893 + ... + 517724.

Almost surely, 2^430400672 is an apocalyptic number.

It is an amenable number.

430400672 is an abundant number, since it is smaller than the sum of its proper divisors (482132404).

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

430400672 is a wasteful number, since it uses less digits than its factorization.

430400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034640 (or 1034632 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 430400672 is about 20746.1001636452. The cubic root of 430400672 is about 755.0185934634.

The spelling of 430400672 in words is "four hundred thirty million, four hundred thousand, six hundred seventy-two".