30906480 has 160 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 7152640.

The previous prime is 30906479. The next prime is 30906487. The reversal of 30906480 is 8460903.

It is a super-3 number, since 3×30906480³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30906487) 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, 60466 + ... + 60974.

It is an arithmetic number, because the mean of its divisors is an integer number (682992).

Almost surely, 2^30906480 is an apocalyptic number.

30906480 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 30906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

30906480 is an abundant number, since it is smaller than the sum of its proper divisors (78372240).

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

30906480 is a wasteful number, since it uses less digits than its factorization.

30906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30906480 is about 5559.3596753583. The cubic root of 30906480 is about 313.8218525087.

The spelling of 30906480 in words is "thirty million, nine hundred six thousand, four hundred eighty".