25006400 has 42 divisors (see below), whose sum is σ = 61535310. Its totient is φ = 10001920.

The previous prime is 25006391. The next prime is 25006409. The reversal of 25006400 is 460052.

It is an interprime number because it is at equal distance from previous prime (25006391) and next prime (25006409).

It can be written as a sum of positive squares in 3 ways, for example, as 8620096 + 16386304 = 2936^2 + 4048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25006409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6215 + ... + 9414.

Almost surely, 2^25006400 is an apocalyptic number.

25006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25006400 is an abundant number, since it is smaller than the sum of its proper divisors (36528910).

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

25006400 is a wasteful number, since it uses less digits than its factorization.

25006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15651 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 25006400 is about 5000.6399590452. The cubic root of 25006400 is about 292.4267233104.

Adding to 25006400 its reverse (460052), we get a palindrome (25466452).

It can be divided in two parts, 2500 and 6400, that multiplied together give a square (16000000 = 4000²).

The spelling of 25006400 in words is "twenty-five million, six thousand, four hundred".