1427258560 has 224 divisors, whose sum is σ = 4366881792. Its totient is φ = 431861760.

The previous prime is 1427258531. The next prime is 1427258561. The reversal of 1427258560 is 658527241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1427258561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668695 + ... + 670825.

It is an arithmetic number, because the mean of its divisors is an integer number (19495008).

Almost surely, 2^1427258560 is an apocalyptic number.

1427258560 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 1427258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183440896).

1427258560 is an abundant number, since it is smaller than the sum of its proper divisors (2939623232).

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

1427258560 is a wasteful number, since it uses less digits than its factorization.

1427258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 1427258560 is about 37779.0756901224. The cubic root of 1427258560 is about 1125.9027644298.

The spelling of 1427258560 in words is "one billion, four hundred twenty-seven million, two hundred fifty-eight thousand, five hundred sixty".