30404400 has 120 divisors (see below), whose sum is σ = 104941200. Its totient is φ = 7480320.

The previous prime is 30404377. The next prime is 30404431. The reversal of 30404400 is 440403.

It is a tau number, because it is divible by the number of its divisors (120).

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 30404400.

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, 14626 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (874510).

Almost surely, 2^30404400 is an apocalyptic number.

30404400 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 30404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52470600).

30404400 is an abundant number, since it is smaller than the sum of its proper divisors (74536800).

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

30404400 is a wasteful number, since it uses less digits than its factorization.

30404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30404400 is about 5514.0184983368. The cubic root of 30404400 is about 312.1132067821.

Adding to 30404400 its reverse (440403), we get a palindrome (30844803).

The spelling of 30404400 in words is "thirty million, four hundred four thousand, four hundred".