57503040 has 224 divisors, whose sum is σ = 214579200. Its totient is φ = 12773376.

The previous prime is 57503029. The next prime is 57503051. The reversal of 57503040 is 4030575.

57503040 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 (57503029) and next prime (57503051).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 57503040.

It is a congruent number.

It is an unprimeable number.

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, 288861 + ... + 289059.

Almost surely, 2^57503040 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 57503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107289600).

57503040 is an abundant number, since it is smaller than the sum of its proper divisors (157076160).

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

57503040 is a wasteful number, since it uses less digits than its factorization.

57503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 57503040 is about 7583.0758930661. The cubic root of 57503040 is about 385.9789334078.

The spelling of 57503040 in words is "fifty-seven million, five hundred three thousand, forty".