312420480 has 256 divisors, whose sum is σ = 1069286400. Its totient is φ = 77414400.

The previous prime is 312420473. The next prime is 312420503. The reversal of 312420480 is 84024213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312420480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725990 + ... + 1726170.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^312420480 is an apocalyptic number.

312420480 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 312420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

312420480 is an abundant number, since it is smaller than the sum of its proper divisors (756865920).

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

312420480 is a wasteful number, since it uses less digits than its factorization.

312420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 312420480 is about 17675.4202213130. The cubic root of 312420480 is about 678.5468391353.

Adding to 312420480 its reverse (84024213), we get a palindrome (396444693).

The spelling of 312420480 in words is "three hundred twelve million, four hundred twenty thousand, four hundred eighty".