464866848 has 144 divisors (see below), whose sum is σ = 1374662016. Its totient is φ = 148907520.

The previous prime is 464866817. The next prime is 464866861. The reversal of 464866848 is 848668464.

464866848 is a `hidden beast` number, since 464 + 86 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×464866848² = 432202372738910208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 464866794 and 464866803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825415 + ... + 825977.

It is an arithmetic number, because the mean of its divisors is an integer number (9546264).

Almost surely, 2^464866848 is an apocalyptic number.

464866848 is a gapful number since it is divisible by the number (48) 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 464866848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687331008).

464866848 is an abundant number, since it is smaller than the sum of its proper divisors (909795168).

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

464866848 is a wasteful number, since it uses less digits than its factorization.

464866848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 464866848 is about 21560.7710437266. The cubic root of 464866848 is about 774.6571347742.

The spelling of 464866848 in words is "four hundred sixty-four million, eight hundred sixty-six thousand, eight hundred forty-eight".