474219648 has 288 divisors, whose sum is σ = 1644664320. Its totient is φ = 130636800.

The previous prime is 474219631. The next prime is 474219661. The reversal of 474219648 is 846912474.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749753 + ... + 1750023.

It is an arithmetic number, because the mean of its divisors is an integer number (5710640).

Almost surely, 2^474219648 is an apocalyptic number.

474219648 is a gapful number since it is divisible by the number (48) 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 474219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822332160).

474219648 is an abundant number, since it is smaller than the sum of its proper divisors (1170444672).

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

474219648 is a wasteful number, since it uses less digits than its factorization.

474219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 474219648 is about 21776.5848562166. The cubic root of 474219648 is about 779.8178667447.

The spelling of 474219648 in words is "four hundred seventy-four million, two hundred nineteen thousand, six hundred forty-eight".