30420900 has 144 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 7672320.

The previous prime is 30420899. The next prime is 30420917. The reversal of 30420900 is 902403.

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 47 ways as a sum of consecutive naturals, for example, 51004 + ... + 51596.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 2^30420900 is an apocalyptic number.

30420900 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 30420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

30420900 is an abundant number, since it is smaller than the sum of its proper divisors (72697500).

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

30420900 is a wasteful number, since it uses less digits than its factorization.

30420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30420900 is about 5515.5144818956. The cubic root of 30420900 is about 312.1696562500.

The spelling of 30420900 in words is "thirty million, four hundred twenty thousand, nine hundred".