25040000 has 80 divisors (see below), whose sum is σ = 62534670. Its totient is φ = 9984000.

The previous prime is 25039999. The next prime is 25040017. The reversal of 25040000 is 4052.

It can be written as a sum of positive squares in 5 ways, for example, as 1459264 + 23580736 = 1208^2 + 4856^2 .

It is a sliding number, since 25040000 = 40000 + 25000000 and 1/40000 + 1/25000000 = 0.000025040000.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79844 + ... + 80156.

Almost surely, 2^25040000 is an apocalyptic number.

25040000 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 25040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31267335).

25040000 is an abundant number, since it is smaller than the sum of its proper divisors (37494670).

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

25040000 is an frugal number, since it uses more digits than its factorization.

25040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 25040000 is about 5003.9984012787. The cubic root of 25040000 is about 292.5576383358.

Adding to 25040000 its reverse (4052), we get a palindrome (25044052).

It can be divided in two parts, 250 and 40000, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 25040000 in words is "twenty-five million, forty thousand".