463956971520 has 1664 divisors, whose sum is σ = 1956655595520. Its totient is φ = 91351941120.

The previous prime is 463956971507. The next prime is 463956971531. The reversal of 463956971520 is 25179659364.

It is a super-2 number, since 2×463956971520² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5212999636 + ... + 5212999724.

Almost surely, 2^463956971520 is an apocalyptic number.

463956971520 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 463956971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978327797760).

463956971520 is an abundant number, since it is smaller than the sum of its proper divisors (1492698624000).

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

463956971520 is a wasteful number, since it uses less digits than its factorization.

463956971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 463956971520 in words is "four hundred sixty-three billion, nine hundred fifty-six million, nine hundred seventy-one thousand, five hundred twenty".