30468000 has 96 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 8121600.

The previous prime is 30467977. The next prime is 30468019. The reversal of 30468000 is 86403.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10731 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^30468000 is an apocalyptic number.

30468000 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 30468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

30468000 is an abundant number, since it is smaller than the sum of its proper divisors (69384480).

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

30468000 is a wasteful number, since it uses less digits than its factorization.

30468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30468000 is about 5519.7826044148. The cubic root of 30468000 is about 312.3306816100.

The spelling of 30468000 in words is "thirty million, four hundred sixty-eight thousand".