664431480 has 192 divisors, whose sum is σ = 2232023040. Its totient is φ = 171323136.

The previous prime is 664431461. The next prime is 664431491. The reversal of 664431480 is 84134466.

664431480 is a `hidden beast` number, since 6 + 644 + 3 + 1 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×664431480² = 882938383229980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810257 + ... + 1810623.

It is an arithmetic number, because the mean of its divisors is an integer number (11625120).

Almost surely, 2^664431480 is an apocalyptic number.

664431480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664431480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116011520).

664431480 is an abundant number, since it is smaller than the sum of its proper divisors (1567591560).

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

664431480 is a wasteful number, since it uses less digits than its factorization.

664431480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 664431480 is about 25776.5684294865. The cubic root of 664431480 is about 872.6030638809.

The spelling of 664431480 in words is "six hundred sixty-four million, four hundred thirty-one thousand, four hundred eighty".