461526138 has 48 divisors (see below), whose sum is σ = 1026470016. Its totient is φ = 149788800.

The previous prime is 461526127. The next prime is 461526151. The reversal of 461526138 is 831625164.

It is a happy number.

461526138 is a `hidden beast` number, since 4 + 615 + 2 + 6 + 1 + 38 = 666.

It is a super-3 number, since 3×461526138³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309631 + ... + 311117.

It is an arithmetic number, because the mean of its divisors is an integer number (21384792).

Almost surely, 2^461526138 is an apocalyptic number.

461526138 is an abundant number, since it is smaller than the sum of its proper divisors (564943878).

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

461526138 is a wasteful number, since it uses less digits than its factorization.

461526138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1936 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 461526138 is about 21483.1594045196. The cubic root of 461526138 is about 772.7970115010.

The spelling of 461526138 in words is "four hundred sixty-one million, five hundred twenty-six thousand, one hundred thirty-eight".