1052395200 has 336 divisors, whose sum is σ = 4064873760. Its totient is φ = 263946240.

The previous prime is 1052395159. The next prime is 1052395207. The reversal of 1052395200 is 25932501.

1052395200 is a `hidden beast` number, since 105 + 2 + 39 + 520 + 0 = 666.

1052395200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1052395200³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1052395207) 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, 733684 + ... + 735116.

Almost surely, 2^1052395200 is an apocalyptic number.

1052395200 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 1052395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032436880).

1052395200 is an abundant number, since it is smaller than the sum of its proper divisors (3012478560).

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

1052395200 is a wasteful number, since it uses less digits than its factorization.

1052395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1052395200 is about 32440.6411773874. The cubic root of 1052395200 is about 1017.1686183290.

The spelling of 1052395200 in words is "one billion, fifty-two million, three hundred ninety-five thousand, two hundred".