430506464 has 48 divisors (see below), whose sum is σ = 870585408. Its totient is φ = 209459712.

The previous prime is 430506457. The next prime is 430506473. The reversal of 430506464 is 464605034.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 430506464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295562 + ... + 297014.

It is an arithmetic number, because the mean of its divisors is an integer number (18137196).

Almost surely, 2^430506464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435292704).

430506464 is an abundant number, since it is smaller than the sum of its proper divisors (440078944).

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

430506464 is a wasteful number, since it uses less digits than its factorization.

430506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 430506464 is about 20748.6496910040. The cubic root of 430506464 is about 755.0804493020.

The spelling of 430506464 in words is "four hundred thirty million, five hundred six thousand, four hundred sixty-four".