25733440 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 9562112.

The previous prime is 25733437. The next prime is 25733443. The reversal of 25733440 is 4433752.

It is an interprime number because it is at equal distance from previous prime (25733437) and next prime (25733443).

It is a junction number, because it is equal to n+sod(n) for n = 25733399 and 25733408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25733443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436131 + ... + 436189.

Almost surely, 2^25733440 is an apocalyptic number.

25733440 is a gapful number since it is divisible by the number (20) 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 25733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

25733440 is an abundant number, since it is smaller than the sum of its proper divisors (40103360).

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

25733440 is a wasteful number, since it uses less digits than its factorization.

25733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 25733440 is about 5072.8138148369. The cubic root of 25733440 is about 295.2337130975.

The spelling of 25733440 in words is "twenty-five million, seven hundred thirty-three thousand, four hundred forty".