30542400 has 336 divisors, whose sum is σ = 128503680. Its totient is φ = 6912000.

The previous prime is 30542389. The next prime is 30542429. The reversal of 30542400 is 424503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302350 + ... + 302450.

Almost surely, 2^30542400 is an apocalyptic number.

30542400 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 30542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64251840).

30542400 is an abundant number, since it is smaller than the sum of its proper divisors (97961280).

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

30542400 is a wasteful number, since it uses less digits than its factorization.

30542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

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

The square root of 30542400 is about 5526.5178910413. The cubic root of 30542400 is about 312.5847023729.

Adding to 30542400 its reverse (424503), we get a palindrome (30966903).

The spelling of 30542400 in words is "thirty million, five hundred forty-two thousand, four hundred".