461923560 has 448 divisors, whose sum is σ = 1863521280. Its totient is φ = 100776960.

The previous prime is 461923543. The next prime is 461923597. The reversal of 461923560 is 65329164.

It is a happy number.

461923560 is a `hidden beast` number, since 4 + 6 + 1 + 92 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6327684 + ... + 6327756.

Almost surely, 2^461923560 is an apocalyptic number.

461923560 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 461923560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931760640).

461923560 is an abundant number, since it is smaller than the sum of its proper divisors (1401597720).

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

461923560 is a wasteful number, since it uses less digits than its factorization.

461923560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 461923560 is about 21492.4070313215. The cubic root of 461923560 is about 773.0187673922.

The spelling of 461923560 in words is "four hundred sixty-one million, nine hundred twenty-three thousand, five hundred sixty".