463165248 has 224 divisors, whose sum is σ = 1541881600. Its totient is φ = 121927680.

The previous prime is 463165247. The next prime is 463165271. The reversal of 463165248 is 842561364.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463165243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855858 + ... + 856398.

It is an arithmetic number, because the mean of its divisors is an integer number (6883400).

Almost surely, 2^463165248 is an apocalyptic number.

463165248 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 463165248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770940800).

463165248 is an abundant number, since it is smaller than the sum of its proper divisors (1078716352).

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

463165248 is a wasteful number, since it uses less digits than its factorization.

463165248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 566 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 463165248 is about 21521.2743117130. The cubic root of 463165248 is about 773.7107934058.

The spelling of 463165248 in words is "four hundred sixty-three million, one hundred sixty-five thousand, two hundred forty-eight".