472122640 has 240 divisors, whose sum is σ = 1353663360. Its totient is φ = 152064000.

The previous prime is 472122611. The next prime is 472122643. The reversal of 472122640 is 46221274.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 472122599 and 472122608.

It is not an unprimeable number, because it can be changed into a prime (472122643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3126565 + ... + 3126715.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2^472122640 is an apocalyptic number.

472122640 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 472122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676831680).

472122640 is an abundant number, since it is smaller than the sum of its proper divisors (881540720).

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

472122640 is a wasteful number, since it uses less digits than its factorization.

472122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 472122640 is about 21728.3832808610. The cubic root of 472122640 is about 778.6667119509. Note that the first 3 decimals are identical.

The spelling of 472122640 in words is "four hundred seventy-two million, one hundred twenty-two thousand, six hundred forty".