56246400 has 480 divisors, whose sum is σ = 244865280. Its totient is φ = 12441600.

The previous prime is 56246389. The next prime is 56246419. The reversal of 56246400 is 464265.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814385 + ... + 1814415.

It is an arithmetic number, because the mean of its divisors is an integer number (510136).

Almost surely, 2^56246400 is an apocalyptic number.

56246400 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 56246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122432640).

56246400 is an abundant number, since it is smaller than the sum of its proper divisors (188618880).

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

56246400 is a wasteful number, since it uses less digits than its factorization.

56246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56246400 is about 7499.7599961599. The cubic root of 56246400 is about 383.1465420551.

The spelling of 56246400 in words is "fifty-six million, two hundred forty-six thousand, four hundred".