30218400 has 144 divisors (see below), whose sum is σ = 109368000. Its totient is φ = 8052480.

The previous prime is 30218399. The next prime is 30218411. The reversal of 30218400 is 481203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20901 + ... + 22299.

It is an arithmetic number, because the mean of its divisors is an integer number (759500).

Almost surely, 2^30218400 is an apocalyptic number.

30218400 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 30218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684000).

30218400 is an abundant number, since it is smaller than the sum of its proper divisors (79149600).

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

30218400 is a wasteful number, since it uses less digits than its factorization.

30218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30218400 is about 5497.1265221023. The cubic root of 30218400 is about 311.4754499553.

Adding to 30218400 its reverse (481203), we get a palindrome (30699603).

The spelling of 30218400 in words is "thirty million, two hundred eighteen thousand, four hundred".