5090400 has 216 divisors, whose sum is σ = 20717424. Its totient is φ = 1152000.

The previous prime is 5090387. The next prime is 5090401. The reversal of 5090400 is 40905.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5090401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50350 + ... + 50450.

It is an arithmetic number, because the mean of its divisors is an integer number (95914).

Almost surely, 2^5090400 is an apocalyptic number.

5090400 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 5090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358712).

5090400 is an abundant number, since it is smaller than the sum of its proper divisors (15627024).

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

5090400 is a wasteful number, since it uses less digits than its factorization.

5090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5090400 is about 2256.1914812356. The cubic root of 5090400 is about 172.0219910588.

The spelling of 5090400 in words is "five million, ninety thousand, four hundred".