1420385344 has 63 divisors (see below), whose sum is σ = 3283632117. Its totient is φ = 607832064.

The previous prime is 1420385297. The next prime is 1420385359. The reversal of 1420385344 is 4435830241.

The square root of 1420385344 is 37688.

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

It can be written as a sum of positive squares in only one way, i.e., 464833600 + 955551744 = 21560^2 + 30912^2 .

It is a Duffinian number.

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, 2110192 + ... + 2110864.

Almost surely, 2^1420385344 is an apocalyptic number.

1420385344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1420385344 is the 37688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420385344

1420385344 is an abundant number, since it is smaller than the sum of its proper divisors (1863246773).

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

1420385344 is an frugal number, since it uses more digits than its factorization.

1420385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The cubic root of 1420385344 is about 1124.0925275163.

The spelling of 1420385344 in words is "one billion, four hundred twenty million, three hundred eighty-five thousand, three hundred forty-four".