463367385000 has 1600 divisors, whose sum is σ = 1920381281280. Its totient is φ = 103265280000.

The previous prime is 463367384933. The next prime is 463367385007. The reversal of 463367385000 is 583763364.

463367385000 is a `hidden beast` number, since 4 + 633 + 6 + 7 + 3 + 8 + 5 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463367385007) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 2774654917 + ... + 2774655083.

Almost surely, 2^463367385000 is an apocalyptic number.

463367385000 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 463367385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960190640640).

463367385000 is an abundant number, since it is smaller than the sum of its proper divisors (1457013896280).

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

463367385000 is a wasteful number, since it uses less digits than its factorization.

463367385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 463367385000 in words is "four hundred sixty-three billion, three hundred sixty-seven million, three hundred eighty-five thousand".