474552 has 64 divisors (see below), whose sum is σ = 1428000. Its totient is φ = 146016.

The previous prime is 474547. The next prime is 474557. The reversal of 474552 is 255474.

The cubic root of 474552 is 78.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (474547) and next prime (474557).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36498 + ... + 36510.

474552 is a Friedman number, since it can be written as (74+4)^(5/5+2), using all its digits and the basic arithmetic operations.

2⁴⁷⁴⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714000).

474552 is an abundant number, since it is smaller than the sum of its proper divisors (953448).

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

474552 is a wasteful number, since it uses less digits than its factorization.

474552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 474552 is about 688.8773475736.

Multiplying 474552 by its sum of digits (27), we get a cube (12812904 = 234³).

474552 divided by its sum of digits (27) gives a cube (17576 = 26³).

The spelling of 474552 in words is "four hundred seventy-four thousand, five hundred fifty-two".