664046460 has 144 divisors (see below), whose sum is σ = 2511355392. Its totient is φ = 137980800.

The previous prime is 664046431. The next prime is 664046473. The reversal of 664046460 is 64640466.

It is a happy number.

664046460 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 4 + 646 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10096 + ... + 37815.

It is an arithmetic number, because the mean of its divisors is an integer number (17439968).

Almost surely, 2^664046460 is an apocalyptic number.

664046460 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 664046460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255677696).

664046460 is an abundant number, since it is smaller than the sum of its proper divisors (1847308932).

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

664046460 is a wasteful number, since it uses less digits than its factorization.

664046460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47944 (or 47939 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 664046460 is about 25769.0989365170. The cubic root of 664046460 is about 872.4344813870.

The spelling of 664046460 in words is "six hundred sixty-four million, forty-six thousand, four hundred sixty".