13857480 has 320 divisors, whose sum is σ = 58544640. Its totient is φ = 2861568.

The previous prime is 13857461. The next prime is 13857509. The reversal of 13857480 is 8475831.

13857480 is a `hidden beast` number, since 1 + 3 + 8 + 574 + 80 = 666.

13857480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13857480 is a nontrivial binomial coefficient, being equal to C(5265, 2).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294817 + ... + 294863.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^13857480 is an apocalyptic number.

13857480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13857480 is the 5264-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13857480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

13857480 is an abundant number, since it is smaller than the sum of its proper divisors (44687160).

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

13857480 is a wasteful number, since it uses less digits than its factorization.

13857480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13857480 is about 3722.5636327671. The cubic root of 13857480 is about 240.1935937974.

The spelling of 13857480 in words is "thirteen million, eight hundred fifty-seven thousand, four hundred eighty".