463537230120 has 128 divisors (see below), whose sum is σ = 1545729321600. Its totient is φ = 123561510912.

The previous prime is 463537230119. The next prime is 463537230127. The reversal of 463537230120 is 21032735364.

463537230120 is a `hidden beast` number, since 4 + 635 + 3 + 7 + 2 + 3 + 0 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (463537230127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717679 + ... + 2883201.

It is an arithmetic number, because the mean of its divisors is an integer number (12076010325).

Almost surely, 2^463537230120 is an apocalyptic number.

463537230120 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 463537230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772864660800).

463537230120 is an abundant number, since it is smaller than the sum of its proper divisors (1082192091480).

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

463537230120 is a wasteful number, since it uses less digits than its factorization.

463537230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168136 (or 168126 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 463537230120 its reverse (21032735364), we get a palindrome (484569965484).

The spelling of 463537230120 in words is "four hundred sixty-three billion, five hundred thirty-seven million, two hundred thirty thousand, one hundred twenty".