463514251840 has 224 divisors, whose sum is σ = 1161331891200. Its totient is φ = 175977308160.

The previous prime is 463514251831. The next prime is 463514251847. The reversal of 463514251840 is 48152415364.

It is not an unprimeable number, because it can be changed into a prime (463514251847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414962962 + ... + 414964078.

Almost surely, 2^463514251840 is an apocalyptic number.

463514251840 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 463514251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580665945600).

463514251840 is an abundant number, since it is smaller than the sum of its proper divisors (697817639360).

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

463514251840 is a wasteful number, since it uses less digits than its factorization.

463514251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 463514251840 in words is "four hundred sixty-three billion, five hundred fourteen million, two hundred fifty-one thousand, eight hundred forty".