461416540 has 48 divisors (see below), whose sum is σ = 1046037888. Its totient is φ = 169956864.

The previous prime is 461416523. The next prime is 461416541. The reversal of 461416540 is 45614164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461416541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118464 + ... + 122296.

It is an arithmetic number, because the mean of its divisors is an integer number (21792456).

Almost surely, 2^461416540 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 461416540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523018944).

461416540 is an abundant number, since it is smaller than the sum of its proper divisors (584621348).

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

461416540 is a wasteful number, since it uses less digits than its factorization.

461416540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 461416540 is about 21480.6084643801. The cubic root of 461416540 is about 772.7358349644.

The spelling of 461416540 in words is "four hundred sixty-one million, four hundred sixteen thousand, five hundred forty".