472201920 has 448 divisors, whose sum is σ = 1802465280. Its totient is φ = 116121600.

The previous prime is 472201907. The next prime is 472201921. The reversal of 472201920 is 29102274.

472201920 is a `hidden beast` number, since 472 + 2 + 0 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (472201921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10981419 + ... + 10981461.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^472201920 is an apocalyptic number.

472201920 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 472201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901232640).

472201920 is an abundant number, since it is smaller than the sum of its proper divisors (1330263360).

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

472201920 is a wasteful number, since it uses less digits than its factorization.

472201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 472201920 is about 21730.2075461787. The cubic root of 472201920 is about 778.7102947240.

The spelling of 472201920 in words is "four hundred seventy-two million, two hundred one thousand, nine hundred twenty".