472652208 has 480 divisors, whose sum is σ = 1764172800. Its totient is φ = 114960384.

The previous prime is 472652203. The next prime is 472652209. The reversal of 472652208 is 802256274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (472652203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12774366 + ... + 12774402.

It is an arithmetic number, because the mean of its divisors is an integer number (3675360).

Almost surely, 2^472652208 is an apocalyptic number.

472652208 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 472652208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882086400).

472652208 is an abundant number, since it is smaller than the sum of its proper divisors (1291520592).

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

472652208 is a wasteful number, since it uses less digits than its factorization.

472652208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 472652208 is about 21740.5659539948. The cubic root of 472652208 is about 778.9577400705.

The spelling of 472652208 in words is "four hundred seventy-two million, six hundred fifty-two thousand, two hundred eight".