472225152 has 96 divisors (see below), whose sum is σ = 1459197720. Its totient is φ = 134916096.

The previous prime is 472225147. The next prime is 472225207. The reversal of 472225152 is 251522274.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6268 + ... + 31364.

Almost surely, 2^472225152 is an apocalyptic number.

472225152 is a gapful number since it is divisible by the number (42) 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 472225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729598860).

472225152 is an abundant number, since it is smaller than the sum of its proper divisors (986972568).

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

472225152 is a wasteful number, since it uses less digits than its factorization.

472225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25128 (or 25109 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 472225152 is about 21730.7420950137. The cubic root of 472225152 is about 778.7230651796.

The spelling of 472225152 in words is "four hundred seventy-two million, two hundred twenty-five thousand, one hundred fifty-two".