464556006 has 32 divisors (see below), whose sum is σ = 1036216800. Its totient is φ = 154271520.

The previous prime is 464555981. The next prime is 464556073. The reversal of 464556006 is 600655464.

It is a happy number.

464556006 is a `hidden beast` number, since 4 + 6 + 45 + 5 + 600 + 6 = 666.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 1465 + ... + 30516.

It is an arithmetic number, because the mean of its divisors is an integer number (32381775).

Almost surely, 2^464556006 is an apocalyptic number.

464556006 is an abundant number, since it is smaller than the sum of its proper divisors (571660794).

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

464556006 is a wasteful number, since it uses less digits than its factorization.

464556006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32261 (or 32255 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 464556006 is about 21553.5613298592. The cubic root of 464556006 is about 774.4844332326.

The spelling of 464556006 in words is "four hundred sixty-four million, five hundred fifty-six thousand, six".