57638430 has 48 divisors (see below), whose sum is σ = 150817680. Its totient is φ = 15272064.

The previous prime is 57638429. The next prime is 57638431. The reversal of 57638430 is 3483675.

It is a happy number.

57638430 is a `hidden beast` number, since 576 + 3 + 84 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57638429) and next prime (57638431).

It is a super-2 number, since 2×57638430² = 6644377225729800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57638431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12706 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (3142035).

Almost surely, 2^57638430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57638430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75408840).

57638430 is an abundant number, since it is smaller than the sum of its proper divisors (93179250).

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

57638430 is a wasteful number, since it uses less digits than its factorization.

57638430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 57638430 is about 7591.9977608005. The cubic root of 57638430 is about 386.2816230746.

The spelling of 57638430 in words is "fifty-seven million, six hundred thirty-eight thousand, four hundred thirty".