30074496400 has 405 divisors, whose sum is σ = 84706700169. Its totient is φ = 10255365120.

The previous prime is 30074496367. The next prime is 30074496401. The reversal of 30074496400 is 469447003.

The square root of 30074496400 is 173420.

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

It can be written as a sum of positive squares in 13 ways, for example, as 27820905616 + 2253590784 = 166796^2 + 47472^2 .

It is a super-2 number, since 2×30074496400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30074496400.

It is not an unprimeable number, because it can be changed into a prime (30074496401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1037051586 + ... + 1037051614.

Almost surely, 2^30074496400 is an apocalyptic number.

30074496400 is the 173420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30074496400

30074496400 is an abundant number, since it is smaller than the sum of its proper divisors (54632203769).

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

30074496400 is a wasteful number, since it uses less digits than its factorization.

30074496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 30074496400 in words is "thirty billion, seventy-four million, four hundred ninety-six thousand, four hundred".