30368400 has 60 divisors (see below), whose sum is σ = 97283952. Its totient is φ = 8097920.

The previous prime is 30368389. The next prime is 30368407. The reversal of 30368400 is 486303.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30368407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11454 + ... + 13853.

Almost surely, 2^30368400 is an apocalyptic number.

30368400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30368400 is an abundant number, since it is smaller than the sum of its proper divisors (66915552).

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

30368400 is a wasteful number, since it uses less digits than its factorization.

30368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25328 (or 25317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30368400 is about 5510.7531245738. The cubic root of 30368400 is about 311.9899733793.

The spelling of 30368400 in words is "thirty million, three hundred sixty-eight thousand, four hundred".