474164600 has 96 divisors (see below), whose sum is σ = 1356892320. Its totient is φ = 150059520.

The previous prime is 474164597. The next prime is 474164609. The reversal of 474164600 is 6461474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474164609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5174 + ... + 31226.

It is an arithmetic number, because the mean of its divisors is an integer number (14134295).

Almost surely, 2^474164600 is an apocalyptic number.

474164600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678446160).

474164600 is an abundant number, since it is smaller than the sum of its proper divisors (882727720).

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

474164600 is a wasteful number, since it uses less digits than its factorization.

474164600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26089 (or 26080 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 474164600 is about 21775.3208931579. The cubic root of 474164600 is about 779.7876915047.

The spelling of 474164600 in words is "four hundred seventy-four million, one hundred sixty-four thousand, six hundred".