57453840 has 160 divisors (see below), whose sum is σ = 201356160. Its totient is φ = 15054336.

The previous prime is 57453821. The next prime is 57453841. The reversal of 57453840 is 4835475.

57453840 is a `hidden beast` number, since 574 + 5 + 3 + 84 + 0 = 666.

57453840 is a nontrivial binomial coefficient, being equal to C(10720, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 57453795 and 57453804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57453841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144522 + ... + 144918.

It is an arithmetic number, because the mean of its divisors is an integer number (1258476).

Almost surely, 2^57453840 is an apocalyptic number.

57453840 is the 10719-th triangular number and also the 5360-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100678080).

57453840 is an abundant number, since it is smaller than the sum of its proper divisors (143902320).

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

57453840 is a wasteful number, since it uses less digits than its factorization.

57453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57453840 is about 7579.8311326836. The cubic root of 57453840 is about 385.8688199127.

The spelling of 57453840 in words is "fifty-seven million, four hundred fifty-three thousand, eight hundred forty".