1427938160 has 160 divisors (see below), whose sum is σ = 3907249920. Its totient is φ = 479692800.

The previous prime is 1427938157. The next prime is 1427938189. The reversal of 1427938160 is 618397241.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684479 + ... + 686561.

It is an arithmetic number, because the mean of its divisors is an integer number (24420312).

Almost surely, 2^1427938160 is an apocalyptic number.

1427938160 is a gapful number since it is divisible by the number (10) 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 1427938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953624960).

1427938160 is an abundant number, since it is smaller than the sum of its proper divisors (2479311760).

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

1427938160 is a wasteful number, since it uses less digits than its factorization.

1427938160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1427938160 is about 37788.0690165560. The cubic root of 1427938160 is about 1126.0814384571.

The spelling of 1427938160 in words is "one billion, four hundred twenty-seven million, nine hundred thirty-eight thousand, one hundred sixty".