463584240 has 240 divisors, whose sum is σ = 1810598400. Its totient is φ = 104099328.

The previous prime is 463584229. The next prime is 463584293. The reversal of 463584240 is 42485364.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 463584195 and 463584204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296581 + ... + 298139.

It is an arithmetic number, because the mean of its divisors is an integer number (7544160).

Almost surely, 2^463584240 is an apocalyptic number.

463584240 is a gapful number since it is divisible by the number (40) 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 463584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905299200).

463584240 is an abundant number, since it is smaller than the sum of its proper divisors (1347014160).

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

463584240 is a wasteful number, since it uses less digits than its factorization.

463584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 463584240 is about 21531.0064790293. The cubic root of 463584240 is about 773.9440297648.

The spelling of 463584240 in words is "four hundred sixty-three million, five hundred eighty-four thousand, two hundred forty".