30416400 has 360 divisors, whose sum is σ = 129527424. Its totient is φ = 6451200.

The previous prime is 30416381. The next prime is 30416423. The reversal of 30416400 is 461403.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 428365 + ... + 428435.

Almost surely, 2^30416400 is an apocalyptic number.

30416400 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 30416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64763712).

30416400 is an abundant number, since it is smaller than the sum of its proper divisors (99111024).

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

30416400 is a wasteful number, since it uses less digits than its factorization.

30416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30416400 is about 5515.1065266230. The cubic root of 30416400 is about 312.1542629653.

Adding to 30416400 its reverse (461403), we get a palindrome (30877803).

The spelling of 30416400 in words is "thirty million, four hundred sixteen thousand, four hundred".