57408000 has 320 divisors, whose sum is σ = 214486272. Its totient is φ = 13516800.

The previous prime is 57407993. The next prime is 57408007. The reversal of 57408000 is 80475.

57408000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57407993) and next prime (57408007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57408007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2495989 + ... + 2496011.

Almost surely, 2^57408000 is an apocalyptic number.

57408000 is a gapful number since it is divisible by the number (50) 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 57408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

57408000 is an abundant number, since it is smaller than the sum of its proper divisors (157078272).

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

57408000 is a wasteful number, since it uses less digits than its factorization.

57408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57408000 is about 7576.8067152330. The cubic root of 57408000 is about 385.7661697793.

Adding to 57408000 its reverse (80475), we get a palindrome (57488475).

The spelling of 57408000 in words is "fifty-seven million, four hundred eight thousand".