56473200 has 360 divisors, whose sum is σ = 235068288. Its totient is φ = 12752640.

The previous prime is 56473199. The next prime is 56473223. The reversal of 56473200 is 237465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 680359 + ... + 680441.

Almost surely, 2^56473200 is an apocalyptic number.

56473200 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 56473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117534144).

56473200 is an abundant number, since it is smaller than the sum of its proper divisors (178595088).

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

56473200 is a wasteful number, since it uses less digits than its factorization.

56473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56473200 is about 7514.8652682533. The cubic root of 56473200 is about 383.6608333329.

The spelling of 56473200 in words is "fifty-six million, four hundred seventy-three thousand, two hundred".