30450768 has 80 divisors (see below), whose sum is σ = 83714880. Its totient is φ = 9510912.

The previous prime is 30450743. The next prime is 30450769. The reversal of 30450768 is 86705403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30450769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157680 + ... + 157872.

It is an arithmetic number, because the mean of its divisors is an integer number (1046436).

Almost surely, 2^30450768 is an apocalyptic number.

30450768 is a gapful number since it is divisible by the number (38) 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 30450768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41857440).

30450768 is an abundant number, since it is smaller than the sum of its proper divisors (53264112).

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

30450768 is a wasteful number, since it uses less digits than its factorization.

30450768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 30450768 is about 5518.2214526059. The cubic root of 30450768 is about 312.2717881558.

The spelling of 30450768 in words is "thirty million, four hundred fifty thousand, seven hundred sixty-eight".