463572506240 has 128 divisors (see below), whose sum is σ = 1167479352000. Its totient is φ = 175530516480.

The previous prime is 463572506239. The next prime is 463572506249. The reversal of 463572506240 is 42605275364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 463572506191 and 463572506200.

It is not an unprimeable number, because it can be changed into a prime (463572506249) 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 15 ways as a sum of consecutive naturals, for example, 16048931 + ... + 16077789.

Almost surely, 2^463572506240 is an apocalyptic number.

463572506240 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 463572506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583739676000).

463572506240 is an abundant number, since it is smaller than the sum of its proper divisors (703906845760).

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

463572506240 is a wasteful number, since it uses less digits than its factorization.

463572506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30218 (or 30206 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 463572506240 in words is "four hundred sixty-three billion, five hundred seventy-two million, five hundred six thousand, two hundred forty".