1022256000 has 384 divisors, whose sum is σ = 3806150400. Its totient is φ = 262656000.

The previous prime is 1022255987. The next prime is 1022256023. The reversal of 1022256000 is 6522201.

1022256000 is a `hidden beast` number, since 102 + 2 + 2 + 560 + 0 + 0 = 666.

1022256000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463886 + ... + 4464114.

It is an arithmetic number, because the mean of its divisors is an integer number (9911850).

Almost surely, 2^1022256000 is an apocalyptic number.

1022256000 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 1022256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903075200).

1022256000 is an abundant number, since it is smaller than the sum of its proper divisors (2783894400).

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

1022256000 is a wasteful number, since it uses less digits than its factorization.

1022256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1022256000 is about 31972.7383875701. The cubic root of 1022256000 is about 1007.3643006140.

Adding to 1022256000 its reverse (6522201), we get a palindrome (1028778201).

The spelling of 1022256000 in words is "one billion, twenty-two million, two hundred fifty-six thousand".