25374000 has 80 divisors (see below), whose sum is σ = 81825120. Its totient is φ = 6764800.

The previous prime is 25373983. The next prime is 25374007. The reversal of 25374000 is 47352.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (25374007) 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, 3886 + ... + 8114.

It is an arithmetic number, because the mean of its divisors is an integer number (1022814).

Almost surely, 2^25374000 is an apocalyptic number.

25374000 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 25374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40912560).

25374000 is an abundant number, since it is smaller than the sum of its proper divisors (56451120).

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

25374000 is a wasteful number, since it uses less digits than its factorization.

25374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 25374000 is about 5037.2611605911. The cubic root of 25374000 is about 293.8526727255.

The spelling of 25374000 in words is "twenty-five million, three hundred seventy-four thousand".