1052066400 has 288 divisors, whose sum is σ = 4270226688. Its totient is φ = 218572800.

The previous prime is 1052066387. The next prime is 1052066401. The reversal of 1052066400 is 46602501.

It is a super-2 number, since 2×1052066400² = 2213687420017920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052066401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181954 + ... + 187646.

It is an arithmetic number, because the mean of its divisors is an integer number (14827176).

Almost surely, 2^1052066400 is an apocalyptic number.

1052066400 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 1052066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135113344).

1052066400 is an abundant number, since it is smaller than the sum of its proper divisors (3218160288).

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

1052066400 is a wasteful number, since it uses less digits than its factorization.

1052066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1052066400 is about 32435.5730641529. The cubic root of 1052066400 is about 1017.0626759106.

Adding to 1052066400 its reverse (46602501), we get a palindrome (1098668901).

The spelling of 1052066400 in words is "one billion, fifty-two million, sixty-six thousand, four hundred".