30000264 has 64 divisors (see below), whose sum is σ = 86154240. Its totient is φ = 8527680.

The previous prime is 30000251. The next prime is 30000277. The reversal of 30000264 is 46200003.

It is an interprime number because it is at equal distance from previous prime (30000251) and next prime (30000277).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47229 + ... + 47859.

It is an arithmetic number, because the mean of its divisors is an integer number (1346160).

Almost surely, 2^30000264 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 30000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43077120).

30000264 is an abundant number, since it is smaller than the sum of its proper divisors (56153976).

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

30000264 is a wasteful number, since it uses less digits than its factorization.

30000264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30000264 is about 5477.2496747912. The cubic root of 30000264 is about 310.7241620476.

Adding to 30000264 its reverse (46200003), we get a palindrome (76200267).

The spelling of 30000264 in words is "thirty million, two hundred sixty-four", and thus it is an aban number.