30456400 has 60 divisors (see below), whose sum is σ = 78813532. Its totient is φ = 11243520.

The previous prime is 30456383. The next prime is 30456421. The reversal of 30456400 is 465403.

It can be written as a sum of positive squares in 6 ways, for example, as 118336 + 30338064 = 344^2 + 5508^2 .

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 11 ways as a sum of consecutive naturals, for example, 2272 + ... + 8128.

Almost surely, 2^30456400 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 30456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39406766).

30456400 is an abundant number, since it is smaller than the sum of its proper divisors (48357132).

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

30456400 is a wasteful number, since it uses less digits than its factorization.

30456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 30456400 is about 5518.7317383616. The cubic root of 30456400 is about 312.2910389707.

The spelling of 30456400 in words is "thirty million, four hundred fifty-six thousand, four hundred".