472219008 has 128 divisors (see below), whose sum is σ = 1343952000. Its totient is φ = 146460672.

The previous prime is 472218961. The next prime is 472219021. The reversal of 472219008 is 800912274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 472219008.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 429916 + ... + 431012.

It is an arithmetic number, because the mean of its divisors is an integer number (10499625).

Almost surely, 2^472219008 is an apocalyptic number.

472219008 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 472219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671976000).

472219008 is an abundant number, since it is smaller than the sum of its proper divisors (871732992).

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

472219008 is a wasteful number, since it uses less digits than its factorization.

472219008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 472219008 is about 21730.6007280057. The cubic root of 472219008 is about 778.7196879098.

The spelling of 472219008 in words is "four hundred seventy-two million, two hundred nineteen thousand, eight".