474943360 has 64 divisors (see below), whose sum is σ = 1141477920. Its totient is φ = 188962816.

The previous prime is 474943351. The next prime is 474943367. The reversal of 474943360 is 63349474.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474943367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124197 + ... + 127963.

Almost surely, 2^474943360 is an apocalyptic number.

474943360 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 474943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570738960).

474943360 is an abundant number, since it is smaller than the sum of its proper divisors (666534560).

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

474943360 is a wasteful number, since it uses less digits than its factorization.

474943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 474943360 is about 21793.1952682483. The cubic root of 474943360 is about 780.2143614208.

The spelling of 474943360 in words is "four hundred seventy-four million, nine hundred forty-three thousand, three hundred sixty".