57840480 has 120 divisors (see below), whose sum is σ = 204174432. Its totient is φ = 15420672.

The previous prime is 57840479. The next prime is 57840481. The reversal of 57840480 is 8404875.

57840480 is a `hidden beast` number, since 578 + 4 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (57840479) and next prime (57840481).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57840480² = 6691042253260800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57840481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10729 + ... + 15191.

Almost surely, 2^57840480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102087216).

57840480 is an abundant number, since it is smaller than the sum of its proper divisors (146333952).

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

57840480 is a wasteful number, since it uses less digits than its factorization.

57840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 57840480 is about 7605.2928937681. The cubic root of 57840480 is about 386.7324633705.

The spelling of 57840480 in words is "fifty-seven million, eight hundred forty thousand, four hundred eighty".