30424900 has 72 divisors (see below), whose sum is σ = 76307616. Its totient is φ = 10406400.

The previous prime is 30424879. The next prime is 30424957. The reversal of 30424900 is 942403.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 17887 + ... + 19513.

It is an arithmetic number, because the mean of its divisors is an integer number (1059828).

Almost surely, 2^30424900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30424900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38153808).

30424900 is an abundant number, since it is smaller than the sum of its proper divisors (45882716).

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

30424900 is a wasteful number, since it uses less digits than its factorization.

30424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 30424900 is about 5515.8770834746. The cubic root of 30424900 is about 312.1833378954.

The spelling of 30424900 in words is "thirty million, four hundred twenty-four thousand, nine hundred".