427993344 has 81 divisors (see below), whose sum is σ = 1236880099. Its totient is φ = 142333440.

The previous prime is 427993337. The next prime is 427993351. The reversal of 427993344 is 443399724.

The square root of 427993344 is 20688.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (427993337) and next prime (427993351).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 427993344.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 992809 + ... + 993239.

Almost surely, 2^427993344 is an apocalyptic number.

427993344 is the 20688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427993344

427993344 is an abundant number, since it is smaller than the sum of its proper divisors (808886755).

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

427993344 is an frugal number, since it uses more digits than its factorization.

427993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 436 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The cubic root of 427993344 is about 753.6082977436.

The spelling of 427993344 in words is "four hundred twenty-seven million, nine hundred ninety-three thousand, three hundred forty-four".