463270919832 has 480 divisors, whose sum is σ = 1537870989600. Its totient is φ = 129889557504.

The previous prime is 463270919743. The next prime is 463270919869. The reversal of 463270919832 is 238919072364.

463270919832 is a `hidden beast` number, since 463 + 2 + 7 + 0 + 91 + 98 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 623513653 + ... + 623514395.

It is an arithmetic number, because the mean of its divisors is an integer number (3203897895).

Almost surely, 2^463270919832 is an apocalyptic number.

463270919832 is a gapful number since it is divisible by the number (42) 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 463270919832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768935494800).

463270919832 is an abundant number, since it is smaller than the sum of its proper divisors (1074600069768).

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

463270919832 is a wasteful number, since it uses less digits than its factorization.

463270919832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 463270919832 in words is "four hundred sixty-three billion, two hundred seventy million, nine hundred nineteen thousand, eight hundred thirty-two".