461561490 has 192 divisors, whose sum is σ = 1412611200. Its totient is φ = 107495424.

The previous prime is 461561489. The next prime is 461561491. The reversal of 461561490 is 94165164.

461561490 is a `hidden beast` number, since 4 + 6 + 1 + 561 + 4 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (461561489) and next prime (461561491).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461561491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599826 + ... + 600594.

It is an arithmetic number, because the mean of its divisors is an integer number (7357350).

Almost surely, 2^461561490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461561490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706305600).

461561490 is an abundant number, since it is smaller than the sum of its proper divisors (951049710).

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

461561490 is a wasteful number, since it uses less digits than its factorization.

461561490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 461561490 is about 21483.9821727723. The cubic root of 461561490 is about 772.8167425774.

The spelling of 461561490 in words is "four hundred sixty-one million, five hundred sixty-one thousand, four hundred ninety".