1283401152 has 224 divisors, whose sum is σ = 4147718400. Its totient is φ = 385920000.

The previous prime is 1283401087. The next prime is 1283401153. The reversal of 1283401152 is 2511043821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283401153) 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, 4770874 + ... + 4771142.

It is an arithmetic number, because the mean of its divisors is an integer number (18516600).

Almost surely, 2^1283401152 is an apocalyptic number.

1283401152 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 1283401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073859200).

1283401152 is an abundant number, since it is smaller than the sum of its proper divisors (2864317248).

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

1283401152 is a wasteful number, since it uses less digits than its factorization.

1283401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1283401152 is about 35824.5886508136. The cubic root of 1283401152 is about 1086.7278780847.

Adding to 1283401152 its reverse (2511043821), we get a palindrome (3794444973).

The spelling of 1283401152 in words is "one billion, two hundred eighty-three million, four hundred one thousand, one hundred fifty-two".