464806848 has 112 divisors (see below), whose sum is σ = 1355506560. Its totient is φ = 139392000.

The previous prime is 464806817. The next prime is 464806871. The reversal of 464806848 is 848608464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 464806797 and 464806806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212223 + ... + 214401.

Almost surely, 2^464806848 is an apocalyptic number.

464806848 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 464806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677753280).

464806848 is an abundant number, since it is smaller than the sum of its proper divisors (890699712).

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

464806848 is a wasteful number, since it uses less digits than its factorization.

464806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 464806848 is about 21559.3795829101. The cubic root of 464806848 is about 774.6238052103.

The spelling of 464806848 in words is "four hundred sixty-four million, eight hundred six thousand, eight hundred forty-eight".