30285900 has 90 divisors (see below), whose sum is σ = 98201180. Its totient is φ = 8074080.

The previous prime is 30285883. The next prime is 30285901. The reversal of 30285900 is 958203.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×30285900³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30285901) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6231 + ... + 9969.

Almost surely, 2^30285900 is an apocalyptic number.

30285900 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 30285900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49100590).

30285900 is an abundant number, since it is smaller than the sum of its proper divisors (67915280).

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

30285900 is a wasteful number, since it uses less digits than its factorization.

30285900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30285900 is about 5503.2626686358. The cubic root of 30285900 is about 311.7071957106.

The spelling of 30285900 in words is "thirty million, two hundred eighty-five thousand, nine hundred".