303432480 has 240 divisors, whose sum is σ = 1153878264. Its totient is φ = 74649600.

The previous prime is 303432469. The next prime is 303432497. The reversal of 303432480 is 84234303.

It can be written as a sum of positive squares in 4 ways, for example, as 126967824 + 176464656 = 11268^2 + 13284^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 167580 + ... + 169380.

Almost surely, 2^303432480 is an apocalyptic number.

303432480 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 303432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576939132).

303432480 is an abundant number, since it is smaller than the sum of its proper divisors (850445784).

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

303432480 is a wasteful number, since it uses less digits than its factorization.

303432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 303432480 is about 17419.3134193056. The cubic root of 303432480 is about 671.9764022326.

Adding to 303432480 its reverse (84234303), we get a palindrome (387666783).

It can be divided in two parts, 30343 and 2480, that added together give a palindrome (32823).

The spelling of 303432480 in words is "three hundred three million, four hundred thirty-two thousand, four hundred eighty".