464483808 has 96 divisors (see below), whose sum is σ = 1371676320. Its totient is φ = 154804608.

The previous prime is 464483779. The next prime is 464483837. The reversal of 464483808 is 808384464.

It is an interprime number because it is at equal distance from previous prime (464483779) and next prime (464483837).

It is a tau number, because it is divible by the number of its divisors (96).

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, 66666 + ... + 73302.

It is an arithmetic number, because the mean of its divisors is an integer number (14288295).

Almost surely, 2^464483808 is an apocalyptic number.

464483808 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 464483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685838160).

464483808 is an abundant number, since it is smaller than the sum of its proper divisors (907192512).

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

464483808 is an frugal number, since it uses more digits than its factorization.

464483808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 464483808 is about 21551.8864139546. The cubic root of 464483808 is about 774.4443095278. Note that the first 3 decimals are identical.

The spelling of 464483808 in words is "four hundred sixty-four million, four hundred eighty-three thousand, eight hundred eight".