30240480 has 72 divisors (see below), whose sum is σ = 95638536. Its totient is φ = 8032000.

The previous prime is 30240473. The next prime is 30240499. The reversal of 30240480 is 8404203.

30240480 = T₃₆₀ + T₃₆₁ + ... + T₆₁₀.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120355 + ... + 120605.

It is an arithmetic number, because the mean of its divisors is an integer number (1328313).

Almost surely, 2^30240480 is an apocalyptic number.

30240480 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 30240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47819268).

30240480 is an abundant number, since it is smaller than the sum of its proper divisors (65398056).

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

30240480 is an equidigital number, since it uses as much as digits as its factorization.

30240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 30240480 is about 5499.1344773519. The cubic root of 30240480 is about 311.5512945132.

Adding to 30240480 its reverse (8404203), we get a palindrome (38644683).

The spelling of 30240480 in words is "thirty million, two hundred forty thousand, four hundred eighty".