30900480 has 144 divisors (see below), whose sum is σ = 106451520. Its totient is φ = 7593984.

The previous prime is 30900473. The next prime is 30900481. The reversal of 30900480 is 8400903.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30900480.

It is not an unprimeable number, because it can be changed into a prime (30900481) 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, 49611 + ... + 50229.

Almost surely, 2^30900480 is an apocalyptic number.

30900480 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 30900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225760).

30900480 is an abundant number, since it is smaller than the sum of its proper divisors (75551040).

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

30900480 is a wasteful number, since it uses less digits than its factorization.

30900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30900480 is about 5558.8200186730. The cubic root of 30900480 is about 313.8015433591.

The spelling of 30900480 in words is "thirty million, nine hundred thousand, four hundred eighty".