463025204212480 has 1728 divisors, whose sum is σ = 1455490144862208. Its totient is φ = 139726055669760.

The previous prime is 463025204212447. The next prime is 463025204212541. The reversal of 463025204212480 is 84212402520364.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 762809232337 + ... + 762809232943.

It is an arithmetic number, because the mean of its divisors is an integer number (842297537536).

Almost surely, 2^{463025204212480} is an apocalyptic number.

463025204212480 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 463025204212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727745072431104).

463025204212480 is an abundant number, since it is smaller than the sum of its proper divisors (992464940649728).

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

463025204212480 is a wasteful number, since it uses less digits than its factorization.

463025204212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 463025204212480 in words is "four hundred sixty-three trillion, twenty-five billion, two hundred four million, two hundred twelve thousand, four hundred eighty".