463940848800 has 1008 divisors, whose sum is σ = 1995348727008. Its totient is φ = 103800268800.

The previous prime is 463940848741. The next prime is 463940848801. The reversal of 463940848800 is 8848049364.

It is a super-2 number, since 2×463940848800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463940848801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 83394819 + ... + 83400381.

It is an arithmetic number, because the mean of its divisors is an integer number (1979512626).

Almost surely, 2^463940848800 is an apocalyptic number.

463940848800 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 463940848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997674363504).

463940848800 is an abundant number, since it is smaller than the sum of its proper divisors (1531407878208).

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

463940848800 is a wasteful number, since it uses less digits than its factorization.

463940848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 463940848800 in words is "four hundred sixty-three billion, nine hundred forty million, eight hundred forty-eight thousand, eight hundred".