474624 has 60 divisors (see below), whose sum is σ = 1383096. Its totient is φ = 156672.

The previous prime is 474619. The next prime is 474629. The reversal of 474624 is 426474.

It is an interprime number because it is at equal distance from previous prime (474619) and next prime (474629).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4557 + ... + 4659.

2⁴⁷⁴⁶²⁴ 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 474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691548).

474624 is an abundant number, since it is smaller than the sum of its proper divisors (908472).

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

474624 is a wasteful number, since it uses less digits than its factorization.

474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 474624 is about 688.9296045316. The cubic root of 474624 is about 78.0039445737.

The spelling of 474624 in words is "four hundred seventy-four thousand, six hundred twenty-four".