30873480 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 7084800.

The previous prime is 30873473. The next prime is 30873481. The reversal of 30873480 is 8437803.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30873481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24465 + ... + 25695.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^30873480 is an apocalyptic number.

30873480 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 30873480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

30873480 is an abundant number, since it is smaller than the sum of its proper divisors (75571320).

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

30873480 is a wasteful number, since it uses less digits than its factorization.

30873480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 30873480 is about 5556.3909149735. The cubic root of 30873480 is about 313.7101196381.

The spelling of 30873480 in words is "thirty million, eight hundred seventy-three thousand, four hundred eighty".