1052400 has 60 divisors (see below), whose sum is σ = 3375032. Its totient is φ = 280320.

The previous prime is 1052333. The next prime is 1052413. The reversal of 1052400 is 42501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1052400² = 2215091520000, 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 11 ways as a sum of consecutive naturals, for example, 762 + ... + 1638.

2^1052400 is an apocalyptic number.

1052400 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 1052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687516).

1052400 is an abundant number, since it is smaller than the sum of its proper divisors (2322632).

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

1052400 is a wasteful number, since it uses less digits than its factorization.

1052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

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

The square root of 1052400 is about 1025.8654882586. The cubic root of 1052400 is about 101.7170164770.

Adding to 1052400 its reverse (42501), we get a palindrome (1094901).

The spelling of 1052400 in words is "one million, fifty-two thousand, four hundred".