303252480 has 132 divisors (see below), whose sum is σ = 1050921612. Its totient is φ = 80855040.

The previous prime is 303252479. The next prime is 303252503. The reversal of 303252480 is 84252303.

303252480 is a `hidden beast` number, since 30 + 32 + 524 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 212926464 = 9504^2 + 14592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42790 + ... + 49370.

Almost surely, 2^303252480 is an apocalyptic number.

303252480 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 303252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525460806).

303252480 is an abundant number, since it is smaller than the sum of its proper divisors (747669132).

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

303252480 is a wasteful number, since it uses less digits than its factorization.

303252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 303252480 is about 17414.1459738915. The cubic root of 303252480 is about 671.8435009714.

The spelling of 303252480 in words is "three hundred three million, two hundred fifty-two thousand, four hundred eighty".