30148400 has 120 divisors (see below), whose sum is σ = 78878880. Its totient is φ = 11038720.

The previous prime is 30148397. The next prime is 30148411. The reversal of 30148400 is 484103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

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, 266744 + ... + 266856.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^30148400 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 30148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39439440).

30148400 is an abundant number, since it is smaller than the sum of its proper divisors (48730480).

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

30148400 is a wasteful number, since it uses less digits than its factorization.

30148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 30148400 is about 5490.7558678200. The cubic root of 30148400 is about 311.2347562197.

The spelling of 30148400 in words is "thirty million, one hundred forty-eight thousand, four hundred".