56729400 has 192 divisors, whose sum is σ = 216652800. Its totient is φ = 11957760.

The previous prime is 56729389. The next prime is 56729417. The reversal of 56729400 is 492765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54081 + ... + 55119.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^56729400 is an apocalyptic number.

56729400 is a gapful number since it is divisible by the number (50) 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 56729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

56729400 is an abundant number, since it is smaller than the sum of its proper divisors (159923400).

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

56729400 is a wasteful number, since it uses less digits than its factorization.

56729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56729400 is about 7531.8921925370. The cubic root of 56729400 is about 384.2401384241.

The spelling of 56729400 in words is "fifty-six million, seven hundred twenty-nine thousand, four hundred".