460477755 has 24 divisors (see below), whose sum is σ = 816726768. Its totient is φ = 239875776.

The previous prime is 460477741. The next prime is 460477769. The reversal of 460477755 is 557774064.

It is an interprime number because it is at equal distance from previous prime (460477741) and next prime (460477769).

It is not a de Polignac number, because 460477755 - 2⁴ = 460477739 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 460477755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117052 + ... + 120921.

It is an arithmetic number, because the mean of its divisors is an integer number (34030282).

Almost surely, 2^460477755 is an apocalyptic number.

460477755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

460477755 is a deficient number, since it is larger than the sum of its proper divisors (356249013).

460477755 is a wasteful number, since it uses less digits than its factorization.

460477755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238027 (or 238024 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 460477755 is about 21458.7454199914. The cubic root of 460477755 is about 772.2114170134.

The spelling of 460477755 in words is "four hundred sixty million, four hundred seventy-seven thousand, seven hundred fifty-five".