30074400 has 108 divisors (see below), whose sum is σ = 106075242. Its totient is φ = 8017920.

The previous prime is 30074389. The next prime is 30074423. The reversal of 30074400 is 447003.

It can be written as a sum of positive squares in 3 ways, for example, as 27751824 + 2322576 = 5268^2 + 1524^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5112 + ... + 9288.

Almost surely, 2^30074400 is an apocalyptic number.

30074400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53037621).

30074400 is an abundant number, since it is smaller than the sum of its proper divisors (76000842).

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

30074400 is a wasteful number, since it uses less digits than its factorization.

30074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30074400 is about 5484.0131290871. The cubic root of 30074400 is about 310.9799030999.

The spelling of 30074400 in words is "thirty million, seventy-four thousand, four hundred".