460550880 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 111974400.

The previous prime is 460550879. The next prime is 460550887. The reversal of 460550880 is 88055064.

It is a happy number.

It is a super-2 number, since 2×460550880² = 424214226137548800, which contains 22 as substring.

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 (460550887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544390 + ... + 2544570.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^460550880 is an apocalyptic number.

460550880 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 460550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

460550880 is an abundant number, since it is smaller than the sum of its proper divisors (1300626720).

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

460550880 is a wasteful number, since it uses less digits than its factorization.

460550880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 460550880 is about 21460.4492031271. The cubic root of 460550880 is about 772.2522912072.

The spelling of 460550880 in words is "four hundred sixty million, five hundred fifty thousand, eight hundred eighty".