312620490 has 384 divisors, whose sum is σ = 1100736000. Its totient is φ = 60963840.

The previous prime is 312620479. The next prime is 312620491. The reversal of 312620490 is 94026213.

312620490 is a `hidden beast` number, since 31 + 2 + 620 + 4 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (312620491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7624870 + ... + 7624910.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^312620490 is an apocalyptic number.

312620490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312620490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

312620490 is an abundant number, since it is smaller than the sum of its proper divisors (788115510).

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

312620490 is a wasteful number, since it uses less digits than its factorization.

312620490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312620490 is about 17681.0771730684. The cubic root of 312620490 is about 678.6916089895.

The spelling of 312620490 in words is "three hundred twelve million, six hundred twenty thousand, four hundred ninety".