5540400 has 210 divisors, whose sum is σ = 21007460. Its totient is φ = 1399680.

The previous prime is 5540393. The next prime is 5540411. The reversal of 5540400 is 40455.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291591 + ... + 291609.

Almost surely, 2^5540400 is an apocalyptic number.

5540400 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 5540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503730).

5540400 is an abundant number, since it is smaller than the sum of its proper divisors (15467060).

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

5540400 is a wasteful number, since it uses less digits than its factorization.

5540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

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

The square root of 5540400 is about 2353.8054295120. The cubic root of 5540400 is about 176.9485630485.

Adding to 5540400 its reverse (40455), we get a palindrome (5580855).

Subtracting from 5540400 its reverse (40455), we obtain a palindrome (5499945).

The spelling of 5540400 in words is "five million, five hundred forty thousand, four hundred".