461552540 has 48 divisors (see below), whose sum is σ = 1005903360. Its totient is φ = 177764160.

The previous prime is 461552537. The next prime is 461552551. The reversal of 461552540 is 45255164.

It is a junction number, because it is equal to n+sod(n) for n = 461552497 and 461552506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57281 + ... + 64839.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^461552540 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 461552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

461552540 is an abundant number, since it is smaller than the sum of its proper divisors (544350820).

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

461552540 is a wasteful number, since it uses less digits than its factorization.

461552540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 461552540 is about 21483.7738770450. The cubic root of 461552540 is about 772.8117473928.

The spelling of 461552540 in words is "four hundred sixty-one million, five hundred fifty-two thousand, five hundred forty".