1052006400 has 288 divisors, whose sum is σ = 3869283600. Its totient is φ = 280166400.

The previous prime is 1052006387. The next prime is 1052006411. The reversal of 1052006400 is 46002501.

It is a happy number.

1052006400 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1052006400² = 2213434931281920000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1382020 + ... + 1382780.

Almost surely, 2^1052006400 is an apocalyptic number.

1052006400 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 1052006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934641800).

1052006400 is an abundant number, since it is smaller than the sum of its proper divisors (2817277200).

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

1052006400 is an equidigital number, since it uses as much as digits as its factorization.

1052006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 771 counting only the distinct ones).

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

The square root of 1052006400 is about 32434.6481405302. The cubic root of 1052006400 is about 1017.0433409710.

Adding to 1052006400 its reverse (46002501), we get a palindrome (1098008901).

The spelling of 1052006400 in words is "one billion, fifty-two million, six thousand, four hundred".