303612480 has 168 divisors, whose sum is σ = 1066995072. Its totient is φ = 79205376.

The previous prime is 303612473. The next prime is 303612487. The reversal of 303612480 is 84216303.

It is a happy number.

303612480 is a `hidden beast` number, since 3 + 0 + 3 + 612 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (303612473) and next prime (303612487).

It is not an unprimeable number, because it can be changed into a prime (303612487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134239 + ... + 136481.

Almost surely, 2^303612480 is an apocalyptic number.

303612480 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 303612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533497536).

303612480 is an abundant number, since it is smaller than the sum of its proper divisors (763382592).

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

303612480 is a wasteful number, since it uses less digits than its factorization.

303612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 303612480 is about 17424.4793322498. The cubic root of 303612480 is about 672.1092509450.

Adding to 303612480 its reverse (84216303), we get a palindrome (387828783).

The spelling of 303612480 in words is "three hundred three million, six hundred twelve thousand, four hundred eighty".