30450420 has 288 divisors, whose sum is σ = 124750080. Its totient is φ = 5840640.

The previous prime is 30450419. The next prime is 30450421. The reversal of 30450420 is 2405403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30450419) and next prime (30450421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30450393 and 30450402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30450421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2342334 + ... + 2342346.

It is an arithmetic number, because the mean of its divisors is an integer number (433160).

Almost surely, 2^30450420 is an apocalyptic number.

30450420 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 30450420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

30450420 is an abundant number, since it is smaller than the sum of its proper divisors (94299660).

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

30450420 is a wasteful number, since it uses less digits than its factorization.

30450420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30450420 is about 5518.1899206171. The cubic root of 30450420 is about 312.2705985745.

Adding to 30450420 its reverse (2405403), we get a palindrome (32855823).

The spelling of 30450420 in words is "thirty million, four hundred fifty thousand, four hundred twenty".