463444870500 has 72 divisors (see below), whose sum is σ = 1462014099000. Its totient is φ = 123585297600.

The previous prime is 463444870489. The next prime is 463444870519. The reversal of 463444870500 is 5078444364.

463444870500 is a `hidden beast` number, since 4 + 6 + 34 + 4 + 48 + 70 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37539837504 + 425905032996 = 193752^2 + 652614^2 .

It is a super-2 number, since 2×463444870500² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51489375 + ... + 51498374.

It is an arithmetic number, because the mean of its divisors is an integer number (20305751375).

Almost surely, 2^463444870500 is an apocalyptic number.

It is an amenable number.

463444870500 is an abundant number, since it is smaller than the sum of its proper divisors (998569228500).

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

463444870500 is a wasteful number, since it uses less digits than its factorization.

463444870500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102987774 (or 102987759 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 463444870500 in words is "four hundred sixty-three billion, four hundred forty-four million, eight hundred seventy thousand, five hundred".