1420480000 has 200 divisors, whose sum is σ = 3719971728. Its totient is φ = 540672000.

The previous prime is 1420479997. The next prime is 1420480003. The reversal of 1420480000 is 840241.

It is an interprime number because it is at equal distance from previous prime (1420479997) and next prime (1420480003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 1420480000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420480003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7359904 + ... + 7360096.

Almost surely, 2^1420480000 is an apocalyptic number.

1420480000 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 1420480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859985864).

1420480000 is an abundant number, since it is smaller than the sum of its proper divisors (2299491728).

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

1420480000 is an frugal number, since it uses more digits than its factorization.

1420480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1420480000 is about 37689.2557634135. The cubic root of 1420480000 is about 1124.1174972048.

The spelling of 1420480000 in words is "one billion, four hundred twenty million, four hundred eighty thousand".