462135180 has 192 divisors, whose sum is σ = 1458616320. Its totient is φ = 108573696.

The previous prime is 462135151. The next prime is 462135181. The reversal of 462135180 is 81531264.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (462135181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1933501 + ... + 1933739.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2^462135180 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 462135180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

462135180 is an abundant number, since it is smaller than the sum of its proper divisors (996481140).

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

462135180 is a wasteful number, since it uses less digits than its factorization.

462135180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 462135180 is about 21497.3296016040. The cubic root of 462135180 is about 773.1367964854.

The spelling of 462135180 in words is "four hundred sixty-two million, one hundred thirty-five thousand, one hundred eighty".