57507420 has 96 divisors (see below), whose sum is σ = 167340096. Its totient is φ = 14745600.

The previous prime is 57507409. The next prime is 57507421. The reversal of 57507420 is 2470575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57507421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238500 + ... + 238740.

It is an arithmetic number, because the mean of its divisors is an integer number (1743126).

Almost surely, 2^57507420 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 57507420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83670048).

57507420 is an abundant number, since it is smaller than the sum of its proper divisors (109832676).

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

57507420 is a wasteful number, since it uses less digits than its factorization.

57507420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 57507420 is about 7583.3646885799. The cubic root of 57507420 is about 385.9887331494.

Adding to 57507420 its sum of digits (30), we get a triangular number (57507450 = T₁₀₇₂₄).

Adding to 57507420 its reverse (2470575), we get a palindrome (59977995).

The spelling of 57507420 in words is "fifty-seven million, five hundred seven thousand, four hundred twenty".