56225400 has 192 divisors, whose sum is σ = 217486080. Its totient is φ = 11673600.

The previous prime is 56225357. The next prime is 56225401. The reversal of 56225400 is 452265.

It is a super-2 number, since 2×56225400² = 6322591210320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56225401) 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, 45592 + ... + 46808.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 2^56225400 is an apocalyptic number.

56225400 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 56225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108743040).

56225400 is an abundant number, since it is smaller than the sum of its proper divisors (161260680).

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

56225400 is a wasteful number, since it uses less digits than its factorization.

56225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 56225400 is about 7498.3598206541. The cubic root of 56225400 is about 383.0988526092.

Adding to 56225400 its reverse (452265), we get a palindrome (56677665).

It can be divided in two parts, 56 and 225400, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 56225400 in words is "fifty-six million, two hundred twenty-five thousand, four hundred".