55950400 has 189 divisors, whose sum is σ = 160751647. Its totient is φ = 19148800.

The previous prime is 55950361. The next prime is 55950403. The reversal of 55950400 is 405955.

The square root of 55950400 is 7480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 54641664 = 1144^2 + 7392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55950403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3291192 + ... + 3291208.

Almost surely, 2^55950400 is an apocalyptic number.

55950400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55950400 is the 7480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55950400

55950400 is an abundant number, since it is smaller than the sum of its proper divisors (104801247).

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

55950400 is a wasteful number, since it uses less digits than its factorization.

55950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The cubic root of 55950400 is about 382.4732491580.

The spelling of 55950400 in words is "fifty-five million, nine hundred fifty thousand, four hundred".