1284377472 has 384 divisors, whose sum is σ = 4651395840. Its totient is φ = 344383488.

The previous prime is 1284377459. The next prime is 1284377483. The reversal of 1284377472 is 2747734821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1284377472² = 3299250981162221568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701203 + ... + 3701549.

It is an arithmetic number, because the mean of its divisors is an integer number (12113010).

Almost surely, 2^1284377472 is an apocalyptic number.

1284377472 is a gapful number since it is divisible by the number (12) 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 1284377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325697920).

1284377472 is an abundant number, since it is smaller than the sum of its proper divisors (3367018368).

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

1284377472 is an equidigital number, since it uses as much as digits as its factorization.

1284377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 1284377472 is about 35838.2124554225. The cubic root of 1284377472 is about 1087.0033765732.

The spelling of 1284377472 in words is "one billion, two hundred eighty-four million, three hundred seventy-seven thousand, four hundred seventy-two".