461441664 has 64 divisors (see below), whose sum is σ = 1361904000. Its totient is φ = 153812736.

The previous prime is 461441639. The next prime is 461441671. The reversal of 461441664 is 466144164.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63304 + ... + 70215.

It is an arithmetic number, because the mean of its divisors is an integer number (21279750).

Almost surely, 2^461441664 is an apocalyptic number.

It is an amenable number.

461441664 is an abundant number, since it is smaller than the sum of its proper divisors (900462336).

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

461441664 is a wasteful number, since it uses less digits than its factorization.

461441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133542 (or 133524 counting only the distinct ones).

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

The square root of 461441664 is about 21481.1932629451. The cubic root of 461441664 is about 772.7498597923.

The spelling of 461441664 in words is "four hundred sixty-one million, four hundred forty-one thousand, six hundred sixty-four".