30415200 has 288 divisors, whose sum is σ = 112492800. Its totient is φ = 7096320.

The previous prime is 30415183. The next prime is 30415201. The reversal of 30415200 is 251403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30415200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30415201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048786 + ... + 1048814.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^30415200 is an apocalyptic number.

30415200 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 30415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

30415200 is an abundant number, since it is smaller than the sum of its proper divisors (82077600).

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

30415200 is a wasteful number, since it uses less digits than its factorization.

30415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 30415200 is about 5514.9977334538. The cubic root of 30415200 is about 312.1501578329.

Adding to 30415200 its reverse (251403), we get a palindrome (30666603).

The spelling of 30415200 in words is "thirty million, four hundred fifteen thousand, two hundred".