25791480 has 256 divisors, whose sum is σ = 101606400. Its totient is φ = 5736960.

The previous prime is 25791463. The next prime is 25791497. The reversal of 25791480 is 8419752.

25791480 = 42³ + 43³ + ... + 101³.

25791480 is a `hidden beast` number, since 2 + 579 + 1 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (25791463) and next prime (25791497).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154357 + ... + 154523.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^25791480 is an apocalyptic number.

25791480 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 25791480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

25791480 is an abundant number, since it is smaller than the sum of its proper divisors (75814920).

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

25791480 is a wasteful number, since it uses less digits than its factorization.

25791480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 25791480 is about 5078.5312837473. The cubic root of 25791480 is about 295.4555061973.

The spelling of 25791480 in words is "twenty-five million, seven hundred ninety-one thousand, four hundred eighty".