4225469760 has 224 divisors, whose sum is σ = 14952268800. Its totient is φ = 1123338240.

The previous prime is 4225469749. The next prime is 4225469803. The reversal of 4225469760 is 679645224.

4225469760 is a `hidden beast` number, since 42 + 2 + 546 + 9 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4138050 + ... + 4139070.

It is an arithmetic number, because the mean of its divisors is an integer number (66751200).

Almost surely, 2^4225469760 is an apocalyptic number.

4225469760 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 4225469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476134400).

4225469760 is an abundant number, since it is smaller than the sum of its proper divisors (10726799040).

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

4225469760 is a wasteful number, since it uses less digits than its factorization.

4225469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4225469760 is about 65003.6134380236. The cubic root of 4225469760 is about 1616.6834755518.

The spelling of 4225469760 in words is "four billion, two hundred twenty-five million, four hundred sixty-nine thousand, seven hundred sixty".