462135601980 has 576 divisors, whose sum is σ = 1689673789440. Its totient is φ = 101126817792.

The previous prime is 462135601969. The next prime is 462135601987. The reversal of 462135601980 is 89106531264.

462135601980 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 3 + 560 + 1 + 9 + 80 = 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 (462135601987) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 54192477 + ... + 54201003.

It is an arithmetic number, because the mean of its divisors is an integer number (2933461440).

Almost surely, 2^462135601980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462135601980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844836894720).

462135601980 is an abundant number, since it is smaller than the sum of its proper divisors (1227538187460).

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

462135601980 is a wasteful number, since it uses less digits than its factorization.

462135601980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 462135601980 in words is "four hundred sixty-two billion, one hundred thirty-five million, six hundred one thousand, nine hundred eighty".