4472415090 has 384 divisors, whose sum is σ = 14775022080. Its totient is φ = 922521600.

The previous prime is 4472415083. The next prime is 4472415133. The reversal of 4472415090 is 905142744.

It is a happy number.

4472415090 is a `hidden beast` number, since 44 + 72 + 41 + 509 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8584030 + ... + 8584550.

It is an arithmetic number, because the mean of its divisors is an integer number (38476620).

Almost surely, 2^4472415090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472415090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387511040).

4472415090 is an abundant number, since it is smaller than the sum of its proper divisors (10302606990).

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

4472415090 is a wasteful number, since it uses less digits than its factorization.

4472415090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4472415090 is about 66876.1174859905. The cubic root of 4472415090 is about 1647.5832498000.

The spelling of 4472415090 in words is "four billion, four hundred seventy-two million, four hundred fifteen thousand, ninety".