461863080 has 256 divisors, whose sum is σ = 1774080000. Its totient is φ = 104696064.

The previous prime is 461863063. The next prime is 461863099. The reversal of 461863080 is 80368164.

It is a happy number.

461863080 is a `hidden beast` number, since 4 + 6 + 18 + 630 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 21491²-1.

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 63 ways as a sum of consecutive naturals, for example, 1504287 + ... + 1504593.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^461863080 is an apocalyptic number.

461863080 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 461863080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040000).

461863080 is an abundant number, since it is smaller than the sum of its proper divisors (1312216920).

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

461863080 is a wasteful number, since it uses less digits than its factorization.

461863080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461863080 is about 21490.9999767344. Note that the first 4 decimals coincide. The cubic root of 461863080 is about 772.9850286096.

The spelling of 461863080 in words is "four hundred sixty-one million, eight hundred sixty-three thousand, eighty".