1427890464 has 576 divisors, whose sum is σ = 5666734080. Its totient is φ = 339655680.

The previous prime is 1427890397. The next prime is 1427890481. The reversal of 1427890464 is 4640987241.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11243169 + ... + 11243295.

It is an arithmetic number, because the mean of its divisors is an integer number (9838080).

Almost surely, 2^1427890464 is an apocalyptic number.

1427890464 is a gapful number since it is divisible by the number (14) 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 1427890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833367040).

1427890464 is an abundant number, since it is smaller than the sum of its proper divisors (4238843616).

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

1427890464 is a wasteful number, since it uses less digits than its factorization.

1427890464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1427890464 is about 37787.4379126185. The cubic root of 1427890464 is about 1126.0689005243.

The spelling of 1427890464 in words is "one billion, four hundred twenty-seven million, eight hundred ninety thousand, four hundred sixty-four".