55202400 has 432 divisors, whose sum is σ = 230329008. Its totient is φ = 12288000.

The previous prime is 55202363. The next prime is 55202419. The reversal of 55202400 is 420255.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1346380 + ... + 1346420.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^55202400 is an apocalyptic number.

55202400 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 55202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115164504).

55202400 is an abundant number, since it is smaller than the sum of its proper divisors (175126608).

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

55202400 is a wasteful number, since it uses less digits than its factorization.

55202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 55202400 is about 7429.8317612177. The cubic root of 55202400 is about 380.7611705105.

Adding to 55202400 its reverse (420255), we get a palindrome (55622655).

The spelling of 55202400 in words is "fifty-five million, two hundred two thousand, four hundred".