462270560 has 48 divisors (see below), whose sum is σ = 1139606496. Its totient is φ = 176867328.

The previous prime is 462270559. The next prime is 462270577. The reversal of 462270560 is 65072264.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59129 + ... + 66488.

It is an arithmetic number, because the mean of its divisors is an integer number (23741802).

Almost surely, 2^462270560 is an apocalyptic number.

462270560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462270560 is an abundant number, since it is smaller than the sum of its proper divisors (677335936).

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

462270560 is a wasteful number, since it uses less digits than its factorization.

462270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125655 (or 125647 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 462270560 is about 21500.4781342183. The cubic root of 462270560 is about 773.2122845281.

The spelling of 462270560 in words is "four hundred sixty-two million, two hundred seventy thousand, five hundred sixty".