30274400 has 144 divisors (see below), whose sum is σ = 82682208. Its totient is φ = 10752000.

The previous prime is 30274393. The next prime is 30274403. The reversal of 30274400 is 447203.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30274403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426365 + ... + 426435.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 2^30274400 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 30274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41341104).

30274400 is an abundant number, since it is smaller than the sum of its proper divisors (52407808).

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

30274400 is a wasteful number, since it uses less digits than its factorization.

30274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 30274400 is about 5502.2177346957. The cubic root of 30274400 is about 311.6677374527.

The spelling of 30274400 in words is "thirty million, two hundred seventy-four thousand, four hundred".