1022572400 has 120 divisors (see below), whose sum is σ = 2605540080. Its totient is φ = 384583680.

The previous prime is 1022572391. The next prime is 1022572403. The reversal of 1022572400 is 42752201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022572403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192772 + ... + 1193628.

It is an arithmetic number, because the mean of its divisors is an integer number (21712834).

Almost surely, 2^1022572400 is an apocalyptic number.

1022572400 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 1022572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302770040).

1022572400 is an abundant number, since it is smaller than the sum of its proper divisors (1582967680).

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

1022572400 is a wasteful number, since it uses less digits than its factorization.

1022572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 1022572400 is about 31977.6859700636. The cubic root of 1022572400 is about 1007.4682201758.

The spelling of 1022572400 in words is "one billion, twenty-two million, five hundred seventy-two thousand, four hundred".