461220540 has 288 divisors, whose sum is σ = 1558896192. Its totient is φ = 101376000.

The previous prime is 461220533. The next prime is 461220593. The reversal of 461220540 is 45022164.

461220540 = T₄₂₇ + T₄₂₈ + ... + T₁₄₁₆.

It is a self number, because there is not a number n which added to its sum of digits gives 461220540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4566490 + ... + 4566590.

It is an arithmetic number, because the mean of its divisors is an integer number (5412834).

Almost surely, 2^461220540 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 461220540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779448096).

461220540 is an abundant number, since it is smaller than the sum of its proper divisors (1097675652).

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

461220540 is a wasteful number, since it uses less digits than its factorization.

461220540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 461220540 is about 21476.0457254123. The cubic root of 461220540 is about 772.6264055149.

It can be divided in two parts, 4612 and 20540, that added together give a palindrome (25152).

The spelling of 461220540 in words is "four hundred sixty-one million, two hundred twenty thousand, five hundred forty".