10452400 has 60 divisors (see below), whose sum is σ = 28706992. Its totient is φ = 3582720.

The previous prime is 10452391. The next prime is 10452401. The reversal of 10452400 is 425401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10452401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 934 + ... + 4666.

Almost surely, 2^10452400 is an apocalyptic number.

10452400 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 10452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353496).

10452400 is an abundant number, since it is smaller than the sum of its proper divisors (18254592).

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

10452400 is a wasteful number, since it uses less digits than its factorization.

10452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 10452400 is about 3233.0171666726. The cubic root of 10452400 is about 218.6445587074.

Adding to 10452400 its reverse (425401), we get a palindrome (10877801).

The spelling of 10452400 in words is "ten million, four hundred fifty-two thousand, four hundred".