55490400 has 288 divisors, whose sum is σ = 229985280. Its totient is φ = 12648960.

The previous prime is 55490399. The next prime is 55490401. The reversal of 55490400 is 409455.

It is an interprime number because it is at equal distance from previous prime (55490399) and next prime (55490401).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55490401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151017 + ... + 151383.

It is an arithmetic number, because the mean of its divisors is an integer number (798560).

Almost surely, 2^55490400 is an apocalyptic number.

55490400 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 55490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

55490400 is an abundant number, since it is smaller than the sum of its proper divisors (174494880).

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

55490400 is a wasteful number, since it uses less digits than its factorization.

55490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55490400 is about 7449.1878751982. The cubic root of 55490400 is about 381.4221868464.

Adding to 55490400 its reverse (409455), we get a palindrome (55899855).

The spelling of 55490400 in words is "fifty-five million, four hundred ninety thousand, four hundred".