472062528 has 336 divisors, whose sum is σ = 1677521664. Its totient is φ = 123863040.

The previous prime is 472062509. The next prime is 472062553. The reversal of 472062528 is 825260274.

472062528 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 625 + 28 = 666.

It is a Cunningham number, because it is equal to 21727²-1.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 472062492 and 472062501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4866576 + ... + 4866672.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^472062528 is an apocalyptic number.

472062528 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 472062528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838760832).

472062528 is an abundant number, since it is smaller than the sum of its proper divisors (1205459136).

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

472062528 is a wasteful number, since it uses less digits than its factorization.

472062528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

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

The square root of 472062528 is about 21726.9999769872. Note that the first 4 decimals coincide. The cubic root of 472062528 is about 778.6336631932.

The spelling of 472062528 in words is "four hundred seventy-two million, sixty-two thousand, five hundred twenty-eight".