427758144 has 112 divisors (see below), whose sum is σ = 1240389696. Its totient is φ = 129024000.

The previous prime is 427758113. The next prime is 427758157. The reversal of 427758144 is 441857724.

It is a junction number, because it is equal to n+sod(n) for n = 427758096 and 427758105.

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 15 ways as a sum of consecutive naturals, for example, 711444 + ... + 712044.

It is an arithmetic number, because the mean of its divisors is an integer number (11074908).

Almost surely, 2^427758144 is an apocalyptic number.

427758144 is a gapful number since it is divisible by the number (44) 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 427758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620194848).

427758144 is an abundant number, since it is smaller than the sum of its proper divisors (812631552).

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

427758144 is a wasteful number, since it uses less digits than its factorization.

427758144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 427758144 is about 20682.3147640684. The cubic root of 427758144 is about 753.4702261649.

The spelling of 427758144 in words is "four hundred twenty-seven million, seven hundred fifty-eight thousand, one hundred forty-four".