1022284800 has 660 divisors, whose sum is σ = 4146280380. Its totient is φ = 247726080.

The previous prime is 1022284789. The next prime is 1022284801. The reversal of 1022284800 is 84822201.

It can be written as a sum of positive squares in 6 ways, for example, as 331776 + 1021953024 = 576^2 + 31968^2 .

It is a super-2 number, since 2×1022284800² = 2090132424622080000, which contains 22 as substring.

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 (1022284801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35251186 + ... + 35251214.

It is an arithmetic number, because the mean of its divisors is an integer number (6282243).

Almost surely, 2^1022284800 is an apocalyptic number.

1022284800 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 1022284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073140190).

1022284800 is an abundant number, since it is smaller than the sum of its proper divisors (3123995580).

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

1022284800 is a wasteful number, since it uses less digits than its factorization.

1022284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1022284800 is about 31973.1887680913. The cubic root of 1022284800 is about 1007.3737606773.

The spelling of 1022284800 in words is "one billion, twenty-two million, two hundred eighty-four thousand, eight hundred".