1284145920 has 288 divisors, whose sum is σ = 4628433600. Its totient is φ = 337084416.

The previous prime is 1284145909. The next prime is 1284145927. The reversal of 1284145920 is 295414821.

1284145920 is a `hidden beast` number, since 1 + 28 + 41 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1284145927) 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, 2522626 + ... + 2523134.

It is an arithmetic number, because the mean of its divisors is an integer number (16070950).

Almost surely, 2^1284145920 is an apocalyptic number.

1284145920 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 1284145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314216800).

1284145920 is an abundant number, since it is smaller than the sum of its proper divisors (3344287680).

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

1284145920 is an equidigital number, since it uses as much as digits as its factorization.

1284145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1284145920 is about 35834.9817915400. The cubic root of 1284145920 is about 1086.9380497415.

The spelling of 1284145920 in words is "one billion, two hundred eighty-four million, one hundred forty-five thousand, nine hundred twenty".