10252400 has 90 divisors (see below), whose sum is σ = 26362152. Its totient is φ = 3830400.

The previous prime is 10252387. The next prime is 10252423. The reversal of 10252400 is 425201.

10252400 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×10252400² = 210223411520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144365 + ... + 144435.

Almost surely, 2^10252400 is an apocalyptic number.

10252400 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 10252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13181076).

10252400 is an abundant number, since it is smaller than the sum of its proper divisors (16109752).

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

10252400 is a wasteful number, since it uses less digits than its factorization.

10252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10252400 is about 3201.9369138070. The cubic root of 10252400 is about 217.2410270394.

Adding to 10252400 its reverse (425201), we get a palindrome (10677601).

The spelling of 10252400 in words is "ten million, two hundred fifty-two thousand, four hundred".