7238606400 has 189 divisors, whose sum is σ = 25764054771. Its totient is φ = 1927572480.

The previous prime is 7238606317. The next prime is 7238606411. The reversal of 7238606400 is 46068327.

The square root of 7238606400 is 85080.

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

7238606400 is a `hidden beast` number, since 7 + 2 + 3 + 8 + 6 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1999162944 + 5239443456 = 44712^2 + 72384^2 .

It is a super-2 number, since 2×7238606400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10209246 + ... + 10209954.

Almost surely, 2^7238606400 is an apocalyptic number.

7238606400 is the 85080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7238606400

7238606400 is an abundant number, since it is smaller than the sum of its proper divisors (18525448371).

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

7238606400 is an equidigital number, since it uses as much as digits as its factorization.

7238606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 7238606400 is about 1934.4239216133.

Multiplying 7238606400 by its sum of digits (36), we get a square (260589830400 = 510480²).

7238606400 divided by its sum of digits (36) gives a square (201072400 = 14180²).

The spelling of 7238606400 in words is "seven billion, two hundred thirty-eight million, six hundred six thousand, four hundred".