1283420160 has 416 divisors, whose sum is σ = 5001096960. Its totient is φ = 309657600.

The previous prime is 1283420137. The next prime is 1283420267. The reversal of 1283420160 is 610243821.

1283420160 is a `hidden beast` number, since 1 + 2 + 83 + 420 + 160 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6082455 + ... + 6082665.

Almost surely, 2^1283420160 is an apocalyptic number.

1283420160 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 1283420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500548480).

1283420160 is an abundant number, since it is smaller than the sum of its proper divisors (3717676800).

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

1283420160 is a wasteful number, since it uses less digits than its factorization.

1283420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1283420160 is about 35824.8539424797. The cubic root of 1283420160 is about 1086.7332431055.

1283420160 divided by its product of nonzero digits (2304) gives a triangular number (557040 = T₁₀₅₅).

Adding to 1283420160 its reverse (610243821), we get a palindrome (1893663981).

The spelling of 1283420160 in words is "one billion, two hundred eighty-three million, four hundred twenty thousand, one hundred sixty".