57829464 has 320 divisors, whose sum is σ = 216057600. Its totient is φ = 13996800.

The previous prime is 57829459. The next prime is 57829493. The reversal of 57829464 is 46492875.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 947994 + ... + 948054.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^57829464 is an apocalyptic number.

57829464 is a gapful number since it is divisible by the number (54) 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 57829464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

57829464 is an abundant number, since it is smaller than the sum of its proper divisors (158228136).

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

57829464 is a wasteful number, since it uses less digits than its factorization.

57829464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 57829464 is about 7604.5686268190. The cubic root of 57829464 is about 386.7079101204.

The spelling of 57829464 in words is "fifty-seven million, eight hundred twenty-nine thousand, four hundred sixty-four".