461233560 has 128 divisors (see below), whose sum is σ = 1440737280. Its totient is φ = 118030848.

The previous prime is 461233547. The next prime is 461233567. The reversal of 461233560 is 65332164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461233567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 298149 + ... + 299691.

It is an arithmetic number, because the mean of its divisors is an integer number (11255760).

Almost surely, 2^461233560 is an apocalyptic number.

461233560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461233560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720368640).

461233560 is an abundant number, since it is smaller than the sum of its proper divisors (979503720).

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

461233560 is a wasteful number, since it uses less digits than its factorization.

461233560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 461233560 is about 21476.3488517020. The cubic root of 461233560 is about 772.6336757181.

The spelling of 461233560 in words is "four hundred sixty-one million, two hundred thirty-three thousand, five hundred sixty".