30254400 has 252 divisors, whose sum is σ = 117921024. Its totient is φ = 7296000.

The previous prime is 30254387. The next prime is 30254429. The reversal of 30254400 is 445203.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158305 + ... + 158495.

Almost surely, 2^30254400 is an apocalyptic number.

30254400 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 30254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

30254400 is an abundant number, since it is smaller than the sum of its proper divisors (87666624).

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

30254400 is a wasteful number, since it uses less digits than its factorization.

30254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

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

The square root of 30254400 is about 5500.3999854556. The cubic root of 30254400 is about 311.5990905883.

Adding to 30254400 its reverse (445203), we get a palindrome (30699603).

The spelling of 30254400 in words is "thirty million, two hundred fifty-four thousand, four hundred".