474957 has 24 divisors (see below), whose sum is σ = 820800. Its totient is φ = 270648.

The previous prime is 474949. The next prime is 474959. The reversal of 474957 is 759474.

It is a happy number.

It is not a de Polignac number, because 474957 - 2³ = 474949 is a prime.

474957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1144 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁴⁷⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

474957 is a deficient number, since it is larger than the sum of its proper divisors (345843).

474957 is a wasteful number, since it uses less digits than its factorization.

474957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 474957 is about 689.1712414197. The cubic root of 474957 is about 78.0221830397.

It can be divided in two parts, 474 and 957, that added together give a triangular number (1431 = T₅₃).

The spelling of 474957 in words is "four hundred seventy-four thousand, nine hundred fifty-seven".