1022564400 has 480 divisors, whose sum is σ = 3952247040. Its totient is φ = 222720000.

The previous prime is 1022564377. The next prime is 1022564437. The reversal of 1022564400 is 44652201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10124350 + ... + 10124450.

It is an arithmetic number, because the mean of its divisors is an integer number (8233848).

Almost surely, 2^1022564400 is an apocalyptic number.

1022564400 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 1022564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976123520).

1022564400 is an abundant number, since it is smaller than the sum of its proper divisors (2929682640).

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

1022564400 is a wasteful number, since it uses less digits than its factorization.

1022564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1022564400 is about 31977.5608825939. The cubic root of 1022564400 is about 1007.4655928910.

The spelling of 1022564400 in words is "one billion, twenty-two million, five hundred sixty-four thousand, four hundred".