627400320 has 256 divisors, whose sum is σ = 2105671680. Its totient is φ = 158699520.

The previous prime is 627400313. The next prime is 627400357. The reversal of 627400320 is 23004726.

It is a super-2 number, since 2×627400320² = 787262323072204800, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4940097 + ... + 4940223.

It is an arithmetic number, because the mean of its divisors is an integer number (8225280).

Almost surely, 2^627400320 is an apocalyptic number.

627400320 is a gapful number since it is divisible by the number (60) 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 627400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052835840).

627400320 is an abundant number, since it is smaller than the sum of its proper divisors (1478271360).

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

627400320 is a wasteful number, since it uses less digits than its factorization.

627400320 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 2016, while the sum is 24.

The square root of 627400320 is about 25047.9603960083. The cubic root of 627400320 is about 856.0811056583.

The spelling of 627400320 in words is "six hundred twenty-seven million, four hundred thousand, three hundred twenty".