5456900 has 36 divisors (see below), whose sum is σ = 11944548. Its totient is φ = 2163840.

The previous prime is 5456897. The next prime is 5456903. The reversal of 5456900 is 96545.

It is an interprime number because it is at equal distance from previous prime (5456897) and next prime (5456903).

It can be written as a sum of positive squares in 6 ways, for example, as 4 + 5456896 = 2^2 + 2336^2 .

It is a super-2 number, since 2×5456900² = 59555515220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5456903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19562 + ... + 19838.

It is an arithmetic number, because the mean of its divisors is an integer number (331793).

Almost surely, 2^5456900 is an apocalyptic number.

5456900 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 5456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972274).

5456900 is an abundant number, since it is smaller than the sum of its proper divisors (6487648).

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

5456900 is a wasteful number, since it uses less digits than its factorization.

5456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 5456900 is about 2336.0008561642. Note that the first 3 decimals coincide. The cubic root of 5456900 is about 176.0551221970.

The spelling of 5456900 in words is "five million, four hundred fifty-six thousand, nine hundred".