472461 has 16 divisors (see below), whose sum is σ = 698880. Its totient is φ = 281520.

The previous prime is 472457. The next prime is 472469. The reversal of 472461 is 164274.

It is not a de Polignac number, because 472461 - 2² = 472457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3330 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2⁴⁷²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

472461 is a deficient number, since it is larger than the sum of its proper divisors (226419).

472461 is a wasteful number, since it uses less digits than its factorization.

472461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 1344, while the sum is 24.

The square root of 472461 is about 687.3579853322. The cubic root of 472461 is about 77.8852685347.

The spelling of 472461 in words is "four hundred seventy-two thousand, four hundred sixty-one".