461878560 has 288 divisors, whose sum is σ = 1852538688. Its totient is φ = 103311360.

The previous prime is 461878537. The next prime is 461878567. The reversal of 461878560 is 65878164.

It is a happy number.

461878560 is a `hidden beast` number, since 4 + 6 + 1 + 87 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (461878567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204799 + ... + 207041.

It is an arithmetic number, because the mean of its divisors is an integer number (6432426).

Almost surely, 2^461878560 is an apocalyptic number.

461878560 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 461878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926269344).

461878560 is an abundant number, since it is smaller than the sum of its proper divisors (1390660128).

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

461878560 is a wasteful number, since it uses less digits than its factorization.

461878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 461878560 is about 21491.3601244779. The cubic root of 461878560 is about 772.9936644118.

The spelling of 461878560 in words is "four hundred sixty-one million, eight hundred seventy-eight thousand, five hundred sixty".