1420260480 has 160 divisors (see below), whose sum is σ = 5072191740. Its totient is φ = 378722304.

The previous prime is 1420260437. The next prime is 1420260493. The reversal of 1420260480 is 840620241.

It can be written as a sum of positive squares in 2 ways, for example, as 1417974336 + 2286144 = 37656^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 38142 + ... + 65538.

Almost surely, 2^1420260480 is an apocalyptic number.

1420260480 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 1420260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095870).

1420260480 is an abundant number, since it is smaller than the sum of its proper divisors (3651931260).

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

1420260480 is an equidigital number, since it uses as much as digits as its factorization.

1420260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27428 (or 27407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1420260480 is about 37686.3434150887. The cubic root of 1420260480 is about 1124.0595874406.

The spelling of 1420260480 in words is "one billion, four hundred twenty million, two hundred sixty thousand, four hundred eighty".