56302400 has 168 divisors, whose sum is σ = 173102016. Its totient is φ = 17510400.

The previous prime is 56302397. The next prime is 56302429. The reversal of 56302400 is 420365.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122972 + ... + 123428.

Almost surely, 2^56302400 is an apocalyptic number.

56302400 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 56302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86551008).

56302400 is an abundant number, since it is smaller than the sum of its proper divisors (116799616).

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

56302400 is a wasteful number, since it uses less digits than its factorization.

56302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 56302400 is about 7503.4925201535. The cubic root of 56302400 is about 383.2736559063.

Adding to 56302400 its reverse (420365), we get a palindrome (56722765).

The spelling of 56302400 in words is "fifty-six million, three hundred two thousand, four hundred".