4008789225 has 189 divisors, whose sum is σ = 8801075367. Its totient is φ = 1805237280.

The previous prime is 4008789217. The next prime is 4008789259. The reversal of 4008789225 is 5229878004.

The square root of 4008789225 is 63315.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1443164121 + 2565625104 = 37989^2 + 50652^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 4008789225 - 2³ = 4008789217 is a prime.

It is a super-2 number, since 2×4008789225² = 32140782100952201250, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 59832642 + ... + 59832708.

Almost surely, 2^4008789225 is an apocalyptic number.

4008789225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4008789225 is the 63315-th square number.

4008789225 is the 31658-th centered octagonal number.

It is an amenable number.

4008789225 is an abundant number, since it is smaller than the sum of its proper divisors (4792286142).

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

4008789225 is an frugal number, since it uses more digits than its factorization.

4008789225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The cubic root of 4008789225 is about 1588.5628701774.

The spelling of 4008789225 in words is "four billion, eight million, seven hundred eighty-nine thousand, two hundred twenty-five".