463786501000 has 64 divisors (see below), whose sum is σ = 1086146334000. Its totient is φ = 185363161600.

The previous prime is 463786500997. The next prime is 463786501007. The reversal of 463786501000 is 105687364.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 258553944324 + 205232556676 = 508482^2 + 453026^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (463786501007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040316 + ... + 1417684.

Almost surely, 2^463786501000 is an apocalyptic number.

463786501000 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 463786501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543073167000).

463786501000 is an abundant number, since it is smaller than the sum of its proper divisors (622359833000).

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

463786501000 is a wasteful number, since it uses less digits than its factorization.

463786501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378619 (or 378605 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 463786501000 in words is "four hundred sixty-three billion, seven hundred eighty-six million, five hundred one thousand".