472862208 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 116785152.

The previous prime is 472862161. The next prime is 472862219. The reversal of 472862208 is 802268274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376093 + ... + 2376291.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^472862208 is an apocalyptic number.

472862208 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 472862208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

472862208 is an abundant number, since it is smaller than the sum of its proper divisors (1177032192).

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

472862208 is a wasteful number, since it uses less digits than its factorization.

472862208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 472862208 is about 21745.3950987330. The cubic root of 472862208 is about 779.0730869734.

It can be divided in two parts, 47286 and 2208, that added together give a palindrome (49494).

The spelling of 472862208 in words is "four hundred seventy-two million, eight hundred sixty-two thousand, two hundred eight".