430667664 has 120 divisors (see below), whose sum is σ = 1370456928. Its totient is φ = 115799040.

The previous prime is 430667659. The next prime is 430667701. The reversal of 430667664 is 466766034.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34599 + ... + 45369.

Almost surely, 2^430667664 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 430667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685228464).

430667664 is an abundant number, since it is smaller than the sum of its proper divisors (939789264).

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

430667664 is a wasteful number, since it uses less digits than its factorization.

430667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 430667664 is about 20752.5339175726. The cubic root of 430667664 is about 755.1746823272.

The spelling of 430667664 in words is "four hundred thirty million, six hundred sixty-seven thousand, six hundred sixty-four".