463586240 has 56 divisors (see below), whose sum is σ = 1188841920. Its totient is φ = 171168768.

The previous prime is 463586219. The next prime is 463586273. The reversal of 463586240 is 42685364.

It is a junction number, because it is equal to n+sod(n) for n = 463586194 and 463586203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51560 + ... + 59879.

It is an arithmetic number, because the mean of its divisors is an integer number (21229320).

Almost surely, 2^463586240 is an apocalyptic number.

463586240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463586240 is an abundant number, since it is smaller than the sum of its proper divisors (725255680).

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

463586240 is a wasteful number, since it uses less digits than its factorization.

463586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111469 (or 111459 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 463586240 is about 21531.0529236264. The cubic root of 463586240 is about 773.9451427490.

The spelling of 463586240 in words is "four hundred sixty-three million, five hundred eighty-six thousand, two hundred forty".