1052643400 has 96 divisors (see below), whose sum is σ = 2624832000. Its totient is φ = 391173120.

The previous prime is 1052643379. The next prime is 1052643401. The reversal of 1052643400 is 43462501.

It is a super-2 number, since 2×1052643400² = 2216116255127120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1052643401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266641 + ... + 270559.

It is an arithmetic number, because the mean of its divisors is an integer number (27342000).

Almost surely, 2^1052643400 is an apocalyptic number.

1052643400 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 1052643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416000).

1052643400 is an abundant number, since it is smaller than the sum of its proper divisors (1572188600).

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

1052643400 is a wasteful number, since it uses less digits than its factorization.

1052643400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1052643400 is about 32444.4664002970. The cubic root of 1052643400 is about 1017.2485760631.

The spelling of 1052643400 in words is "one billion, fifty-two million, six hundred forty-three thousand, four hundred".