461353052160 has 1536 divisors, whose sum is σ = 2203233177600. Its totient is φ = 88438210560.

The previous prime is 461353052131. The next prime is 461353052179. The reversal of 461353052160 is 61250353164.

461353052160 is a `hidden beast` number, since 4 + 6 + 13 + 530 + 52 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276755647 + ... + 276757313.

It is an arithmetic number, because the mean of its divisors is an integer number (1434396600).

Almost surely, 2^461353052160 is an apocalyptic number.

461353052160 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 461353052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101616588800).

461353052160 is an abundant number, since it is smaller than the sum of its proper divisors (1741880125440).

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

461353052160 is a wasteful number, since it uses less digits than its factorization.

461353052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 461353052160 in words is "four hundred sixty-one billion, three hundred fifty-three million, fifty-two thousand, one hundred sixty".