30408480 has 96 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 8107776.

The previous prime is 30408473. The next prime is 30408509. The reversal of 30408480 is 8480403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^30408480 is an apocalyptic number.

30408480 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 30408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

30408480 is an abundant number, since it is smaller than the sum of its proper divisors (76036320).

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

30408480 is a wasteful number, since it uses less digits than its factorization.

30408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30408480 is about 5514.3884520407. The cubic root of 30408480 is about 312.1271670962.

Adding to 30408480 its reverse (8480403), we get a palindrome (38888883).

The spelling of 30408480 in words is "thirty million, four hundred eight thousand, four hundred eighty".