5040900 has 72 divisors (see below), whose sum is σ = 16214240. Its totient is φ = 1343520.

The previous prime is 5040899. The next prime is 5040913. The reversal of 5040900 is 90405.

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

It is an Ulam 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, 1767 + ... + 3633.

Almost surely, 2^5040900 is an apocalyptic number.

5040900 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 5040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107120).

5040900 is an abundant number, since it is smaller than the sum of its proper divisors (11173340).

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

5040900 is a wasteful number, since it uses less digits than its factorization.

5040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

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

The square root of 5040900 is about 2245.1948690481. The cubic root of 5040900 is about 171.4625825375.

The spelling of 5040900 in words is "five million, forty thousand, nine hundred".