30468900 has 144 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 6326400.

The previous prime is 30468899. The next prime is 30468917. The reversal of 30468900 is 986403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22441 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (763840).

Almost surely, 2^30468900 is an apocalyptic number.

30468900 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 30468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

30468900 is an abundant number, since it is smaller than the sum of its proper divisors (79524060).

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

30468900 is a wasteful number, since it uses less digits than its factorization.

30468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30468900 is about 5519.8641287626. The cubic root of 30468900 is about 312.3337569114. Note that the first 3 decimals are identical.

The spelling of 30468900 in words is "thirty million, four hundred sixty-eight thousand, nine hundred".