463960523520 has 432 divisors, whose sum is σ = 1730738947392. Its totient is φ = 114073436160.

The previous prime is 463960523497. The next prime is 463960523539. The reversal of 463960523520 is 25325069364.

463960523520 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 605 + 2 + 35 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216701650 + ... + 216703790.

It is an arithmetic number, because the mean of its divisors is an integer number (4006340156).

Almost surely, 2^463960523520 is an apocalyptic number.

463960523520 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 463960523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865369473696).

463960523520 is an abundant number, since it is smaller than the sum of its proper divisors (1266778423872).

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

463960523520 is a wasteful number, since it uses less digits than its factorization.

463960523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 463960523520 in words is "four hundred sixty-three billion, nine hundred sixty million, five hundred twenty-three thousand, five hundred twenty".