461842560 has 320 divisors, whose sum is σ = 1688385600. Its totient is φ = 120268800.

The previous prime is 461842559. The next prime is 461842561. The reversal of 461842560 is 65248164.

461842560 is a `hidden beast` number, since 46 + 18 + 42 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (461842559) and next prime (461842561).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461842561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3058485 + ... + 3058635.

It is an arithmetic number, because the mean of its divisors is an integer number (5276205).

Almost surely, 2^461842560 is an apocalyptic number.

461842560 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 461842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844192800).

461842560 is an abundant number, since it is smaller than the sum of its proper divisors (1226543040).

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

461842560 is a wasteful number, since it uses less digits than its factorization.

461842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 461842560 is about 21490.5225622831. The cubic root of 461842560 is about 772.9735808535.

The spelling of 461842560 in words is "four hundred sixty-one million, eight hundred forty-two thousand, five hundred sixty".