30408000 has 224 divisors, whose sum is σ = 115385088. Its totient is φ = 6912000.

The previous prime is 30407989. The next prime is 30408041. The reversal of 30408000 is 80403.

30408000 = T₁₂₁ + T₁₂₂ + ... + T₅₆₈.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167910 + ... + 168090.

It is an arithmetic number, because the mean of its divisors is an integer number (515112).

Almost surely, 2^30408000 is an apocalyptic number.

30408000 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 30408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692544).

30408000 is an abundant number, since it is smaller than the sum of its proper divisors (84977088).

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

30408000 is a wasteful number, since it uses less digits than its factorization.

30408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30408000 is about 5514.3449293638. The cubic root of 30408000 is about 312.1255247711.

Adding to 30408000 its reverse (80403), we get a palindrome (30488403).

The spelling of 30408000 in words is "thirty million, four hundred eight thousand".