30234254400 has 1323 divisors, whose sum is σ = 135639307461. Its totient is φ = 6610222080.

The previous prime is 30234254387. The next prime is 30234254417. The reversal of 30234254400 is 445243203.

The square root of 30234254400 is 173880.

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

30234254400 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 4 + 254 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10884331584 + 19349922816 = 104328^2 + 139104^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

It is a super-2 number, since 2×30234254400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1314532789 + ... + 1314532811.

Almost surely, 2^30234254400 is an apocalyptic number.

30234254400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30234254400 is the 173880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30234254400

30234254400 is an abundant number, since it is smaller than the sum of its proper divisors (105405053061).

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

30234254400 is an equidigital number, since it uses as much as digits as its factorization.

30234254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 30234254400 its reverse (445243203), we get a palindrome (30679497603).

The spelling of 30234254400 in words is "thirty billion, two hundred thirty-four million, two hundred fifty-four thousand, four hundred".