30216480 has 288 divisors, whose sum is σ = 120403584. Its totient is φ = 6217728.

The previous prime is 30216469. The next prime is 30216481. The reversal of 30216480 is 8461203.

It is a happy number.

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 30216480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30216481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313749 + ... + 1313771.

It is an arithmetic number, because the mean of its divisors is an integer number (418068).

Almost surely, 2^30216480 is an apocalyptic number.

30216480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30216480 is the 3174-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60201792).

30216480 is an abundant number, since it is smaller than the sum of its proper divisors (90187104).

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

30216480 is a wasteful number, since it uses less digits than its factorization.

30216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30216480 is about 5496.9518826346. The cubic root of 30216480 is about 311.4688530306.

Adding to 30216480 its reverse (8461203), we get a palindrome (38677683).

The spelling of 30216480 in words is "thirty million, two hundred sixteen thousand, four hundred eighty".