4742388225 has 27 divisors (see below), whose sum is σ = 8495994819. Its totient is φ = 2528722800.

The previous prime is 4742388197. The next prime is 4742388253. The reversal of 4742388225 is 5228832474.

The square root of 4742388225 is 68865.

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

4742388225 is a `hidden beast` number, since 4 + 7 + 42 + 388 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (4742388197) and next prime (4742388253).

It can be written as a sum of positive squares in only one way, i.e., 1707259761 + 3035128464 = 41319^2 + 55092^2 .

It is not a de Polignac number, because 4742388225 - 2³¹ = 2594904577 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1030680 + ... + 1035270.

Almost surely, 2^4742388225 is an apocalyptic number.

4742388225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4742388225 is the 68865-th square number.

4742388225 is the 34433-rd centered octagonal number.

It is an amenable number.

4742388225 is a deficient number, since it is larger than the sum of its proper divisors (3753606594).

4742388225 is an frugal number, since it uses more digits than its factorization.

4742388225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198 (or 4599 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The cubic root of 4742388225 is about 1680.0893075398.

The spelling of 4742388225 in words is "four billion, seven hundred forty-two million, three hundred eighty-eight thousand, two hundred twenty-five".