1052400000 has 192 divisors, whose sum is σ = 3498057360. Its totient is φ = 280320000.

The previous prime is 1052399941. The next prime is 1052400031. The reversal of 1052400000 is 42501.

1052400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1052400000² = 2215091520000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1199562 + ... + 1200438.

Almost surely, 2^1052400000 is an apocalyptic number.

1052400000 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 1052400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749028680).

1052400000 is an abundant number, since it is smaller than the sum of its proper divisors (2445657360).

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

1052400000 is an frugal number, since it uses more digits than its factorization.

1052400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1052400000 is about 32440.7151585781. The cubic root of 1052400000 is about 1017.1701647702.

Adding to 1052400000 its reverse (42501), we get a palindrome (1052442501).

The spelling of 1052400000 in words is "one billion, fifty-two million, four hundred thousand".