627997440 has 288 divisors, whose sum is σ = 2335850496. Its totient is φ = 140820480.

The previous prime is 627997429. The next prime is 627997441. The reversal of 627997440 is 44799726.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 627997440.

It is not an unprimeable number, because it can be changed into a prime (627997441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639489 + ... + 1639871.

It is an arithmetic number, because the mean of its divisors is an integer number (8110592).

Almost surely, 2^627997440 is an apocalyptic number.

627997440 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 627997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167925248).

627997440 is an abundant number, since it is smaller than the sum of its proper divisors (1707853056).

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

627997440 is a wasteful number, since it uses less digits than its factorization.

627997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 627997440 is about 25059.8770946707. The cubic root of 627997440 is about 856.3526075200.

The spelling of 627997440 in words is "six hundred twenty-seven million, nine hundred ninety-seven thousand, four hundred forty".