4225654160 has 240 divisors, whose sum is σ = 12444797232. Its totient is φ = 1322496000.

The previous prime is 4225654151. The next prime is 4225654183. The reversal of 4225654160 is 614565224.

It can be written as a sum of positive squares in 8 ways, for example, as 34904464 + 4190749696 = 5908^2 + 64736^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4225654160.

It is a congruent number.

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, 5146550 + ... + 5147370.

Almost surely, 2^4225654160 is an apocalyptic number.

4225654160 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 4225654160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222398616).

4225654160 is an abundant number, since it is smaller than the sum of its proper divisors (8219143072).

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

4225654160 is a wasteful number, since it uses less digits than its factorization.

4225654160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 4225654160 is about 65005.0318052380. The cubic root of 4225654160 is about 1616.7069926290.

The spelling of 4225654160 in words is "four billion, two hundred twenty-five million, six hundred fifty-four thousand, one hundred sixty".