4472562120 has 256 divisors, whose sum is σ = 15101856000. Its totient is φ = 1052061696.

The previous prime is 4472562119. The next prime is 4472562161. The reversal of 4472562120 is 212652744.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4930707 + ... + 4931613.

It is an arithmetic number, because the mean of its divisors is an integer number (58991625).

Almost surely, 2^4472562120 is an apocalyptic number.

4472562120 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 4472562120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550928000).

4472562120 is an abundant number, since it is smaller than the sum of its proper divisors (10629293880).

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

4472562120 is a wasteful number, since it uses less digits than its factorization.

4472562120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4472562120 is about 66877.2167483067. The cubic root of 4472562120 is about 1647.6013042893.

The spelling of 4472562120 in words is "four billion, four hundred seventy-two million, five hundred sixty-two thousand, one hundred twenty".