463621248 has 192 divisors, whose sum is σ = 1398267000. Its totient is φ = 147308544.

The previous prime is 463621219. The next prime is 463621253. The reversal of 463621248 is 842126364.

463621248 is a `hidden beast` number, since 4 + 6 + 3 + 621 + 24 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 409333824 + 54287424 = 20232^2 + 7368^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111478 + ... + 3111626.

Almost surely, 2^463621248 is an apocalyptic number.

463621248 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 463621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699133500).

463621248 is an abundant number, since it is smaller than the sum of its proper divisors (934645752).

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

463621248 is a wasteful number, since it uses less digits than its factorization.

463621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 463621248 is about 21531.8658736302. The cubic root of 463621248 is about 773.9646239064.

The spelling of 463621248 in words is "four hundred sixty-three million, six hundred twenty-one thousand, two hundred forty-eight".