464644471240260 has 768 divisors, whose sum is σ = 1567721723904000. Its totient is φ = 113877414881280.

The previous prime is 464644471240249. The next prime is 464644471240309. The reversal of 464644471240260 is 62042174446464.

It is a happy number.

464644471240260 is a `hidden beast` number, since 4 + 64 + 6 + 44 + 47 + 1 + 240 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 464644471240197 and 464644471240206.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27362600970 + ... + 27362617950.

It is an arithmetic number, because the mean of its divisors is an integer number (2041304328000).

Almost surely, 2^{464644471240260} 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 464644471240260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783860861952000).

464644471240260 is an abundant number, since it is smaller than the sum of its proper divisors (1103077252663740).

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

464644471240260 is a wasteful number, since it uses less digits than its factorization.

464644471240260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17561 (or 17553 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 54.

The spelling of 464644471240260 in words is "four hundred sixty-four trillion, six hundred forty-four billion, four hundred seventy-one million, two hundred forty thousand, two hundred sixty".