1052994600 has 384 divisors, whose sum is σ = 4205088000. Its totient is φ = 237219840.

The previous prime is 1052994599. The next prime is 1052994617. The reversal of 1052994600 is 64992501.

1052994600 is a `hidden beast` number, since 105 + 2 + 99 + 460 + 0 = 666.

1052994600 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-2 number, since 2×1052994600² = 2217595255258320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3364044 + ... + 3364356.

It is an arithmetic number, because the mean of its divisors is an integer number (10950750).

Almost surely, 2^1052994600 is an apocalyptic number.

1052994600 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 1052994600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102544000).

1052994600 is an abundant number, since it is smaller than the sum of its proper divisors (3152093400).

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

1052994600 is a wasteful number, since it uses less digits than its factorization.

1052994600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1052994600 is about 32449.8782740398. The cubic root of 1052994600 is about 1017.3616938185.

The spelling of 1052994600 in words is "one billion, fifty-two million, nine hundred ninety-four thousand, six hundred".