55457600 has 168 divisors, whose sum is σ = 156472128. Its totient is φ = 19148800.

The previous prime is 55457593. The next prime is 55457629. The reversal of 55457600 is 675455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 404732 + ... + 404868.

Almost surely, 2^55457600 is an apocalyptic number.

55457600 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 55457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78236064).

55457600 is an abundant number, since it is smaller than the sum of its proper divisors (101014528).

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

55457600 is a wasteful number, since it uses less digits than its factorization.

55457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 55457600 is about 7446.9859674905. The cubic root of 55457600 is about 381.3470200096.

The spelling of 55457600 in words is "fifty-five million, four hundred fifty-seven thousand, six hundred".