463957773360 has 160 divisors (see below), whose sum is σ = 1479401383680. Its totient is φ = 120194049024.

The previous prime is 463957773343. The next prime is 463957773379. The reversal of 463957773360 is 63377759364.

It is a happy number.

It is a super-2 number, since 2×463957773360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 463957773294 and 463957773303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5812279 + ... + 5891561.

It is an arithmetic number, because the mean of its divisors is an integer number (9246258648).

Almost surely, 2^463957773360 is an apocalyptic number.

463957773360 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 463957773360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739700691840).

463957773360 is an abundant number, since it is smaller than the sum of its proper divisors (1015443610320).

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

463957773360 is a wasteful number, since it uses less digits than its factorization.

463957773360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79995 (or 79989 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 60.

The spelling of 463957773360 in words is "four hundred sixty-three billion, nine hundred fifty-seven million, seven hundred seventy-three thousand, three hundred sixty".