474281920 has 112 divisors (see below), whose sum is σ = 1306787328. Its totient is φ = 160588800.

The previous prime is 474281869. The next prime is 474281923. The reversal of 474281920 is 29182474.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 474281920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474281923) 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, 184645 + ... + 187195.

It is an arithmetic number, because the mean of its divisors is an integer number (11667744).

Almost surely, 2^474281920 is an apocalyptic number.

474281920 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 474281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653393664).

474281920 is an abundant number, since it is smaller than the sum of its proper divisors (832505408).

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

474281920 is a wasteful number, since it uses less digits than its factorization.

474281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 474281920 is about 21778.0146018869. The cubic root of 474281920 is about 779.8519990945.

The spelling of 474281920 in words is "four hundred seventy-four million, two hundred eighty-one thousand, nine hundred twenty".