30014400 has 252 divisors, whose sum is σ = 109511592. Its totient is φ = 7188480.

The previous prime is 30014399. The next prime is 30014407. The reversal of 30014400 is 441003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30014407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811182 + ... + 811218.

Almost surely, 2^30014400 is an apocalyptic number.

30014400 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 30014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54755796).

30014400 is an abundant number, since it is smaller than the sum of its proper divisors (79497192).

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

30014400 is a wasteful number, since it uses less digits than its factorization.

30014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30014400 is about 5478.5399514834. The cubic root of 30014400 is about 310.7729583631.

Adding to 30014400 its reverse (441003), we get a palindrome (30455403).

The spelling of 30014400 in words is "thirty million, fourteen thousand, four hundred".