25830480 has 160 divisors (see below), whose sum is σ = 91494144. Its totient is φ = 5971968.

The previous prime is 25830461. The next prime is 25830499. The reversal of 25830480 is 8403852.

It is an interprime number because it is at equal distance from previous prime (25830461) and next prime (25830499).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52797 + ... + 53283.

Almost surely, 2^25830480 is an apocalyptic number.

25830480 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 25830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45747072).

25830480 is an abundant number, since it is smaller than the sum of its proper divisors (65663664).

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

25830480 is a wasteful number, since it uses less digits than its factorization.

25830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 25830480 is about 5082.3695261167. The cubic root of 25830480 is about 295.6043533057.

The spelling of 25830480 in words is "twenty-five million, eight hundred thirty thousand, four hundred eighty".