56381400 has 192 divisors, whose sum is σ = 198871200. Its totient is φ = 14676480.

The previous prime is 56381399. The next prime is 56381407. The reversal of 56381400 is 418365.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56381407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286102 + ... + 286298.

Almost surely, 2^56381400 is an apocalyptic number.

56381400 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 56381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99435600).

56381400 is an abundant number, since it is smaller than the sum of its proper divisors (142489800).

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

56381400 is a wasteful number, since it uses less digits than its factorization.

56381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56381400 is about 7508.7548901266. The cubic root of 56381400 is about 383.4528339884.

Adding to 56381400 its reverse (418365), we get a palindrome (56799765).

The spelling of 56381400 in words is "fifty-six million, three hundred eighty-one thousand, four hundred".