30490880 has 144 divisors (see below), whose sum is σ = 86534784. Its totient is φ = 10076160.

The previous prime is 30490871. The next prime is 30490891. The reversal of 30490880 is 8809403.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367319 + ... + 367401.

It is an arithmetic number, because the mean of its divisors is an integer number (600936).

Almost surely, 2^30490880 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 30490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267392).

30490880 is an abundant number, since it is smaller than the sum of its proper divisors (56043904).

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

30490880 is an equidigital number, since it uses as much as digits as its factorization.

30490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 30490880 is about 5521.8547608571. The cubic root of 30490880 is about 312.4088438123.

The spelling of 30490880 in words is "thirty million, four hundred ninety thousand, eight hundred eighty".