474805800 has 480 divisors, whose sum is σ = 1944518400. Its totient is φ = 105131520.

The previous prime is 474805739. The next prime is 474805823. The reversal of 474805800 is 8508474.

474805800 is a `hidden beast` number, since 4 + 74 + 8 + 0 + 580 + 0 = 666.

It is a super-3 number, since 3×474805800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6010161 + ... + 6010239.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^474805800 is an apocalyptic number.

474805800 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 474805800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972259200).

474805800 is an abundant number, since it is smaller than the sum of its proper divisors (1469712600).

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

474805800 is a wasteful number, since it uses less digits than its factorization.

474805800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 474805800 is about 21790.0390086847. The cubic root of 474805800 is about 780.1390284723.

The spelling of 474805800 in words is "four hundred seventy-four million, eight hundred five thousand, eight hundred".