57429840 has 160 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 13897728.

The previous prime is 57429829. The next prime is 57429857. The reversal of 57429840 is 4892475.

57429840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 246364 + ... + 246596.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^57429840 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 57429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

57429840 is an abundant number, since it is smaller than the sum of its proper divisors (137557680).

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

57429840 is a wasteful number, since it uses less digits than its factorization.

57429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 57429840 is about 7578.2478185924. The cubic root of 57429840 is about 385.8150832000.

The spelling of 57429840 in words is "fifty-seven million, four hundred twenty-nine thousand, eight hundred forty".