461547540 has 72 divisors (see below), whose sum is σ = 1408706208. Its totient is φ = 122316480.

The previous prime is 461547521. The next prime is 461547551. The reversal of 461547540 is 45745164.

461547540 is a `hidden beast` number, since 4 + 61 + 54 + 7 + 540 = 666.

It is a super-2 number, since 2×461547540² = 426052263360103200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 461547495 and 461547504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21475 + ... + 37205.

It is an arithmetic number, because the mean of its divisors is an integer number (19565364).

Almost surely, 2^461547540 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 461547540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704353104).

461547540 is an abundant number, since it is smaller than the sum of its proper divisors (947158668).

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

461547540 is a wasteful number, since it uses less digits than its factorization.

461547540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15909 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 461547540 is about 21483.6575098376. The cubic root of 461547540 is about 772.8089567587.

The spelling of 461547540 in words is "four hundred sixty-one million, five hundred forty-seven thousand, five hundred forty".