5406900 has 72 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 1415040.

The previous prime is 5406889. The next prime is 5406911. The reversal of 5406900 is 96045.

It is an interprime number because it is at equal distance from previous prime (5406889) and next prime (5406911).

It is a super-4 number, since 4×5406900⁴ (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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, 19966 + ... + 20234.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^5406900 is an apocalyptic number.

5406900 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 5406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

5406900 is an abundant number, since it is smaller than the sum of its proper divisors (10529580).

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

5406900 is a wasteful number, since it uses less digits than its factorization.

5406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5406900 is about 2325.2741773821. The cubic root of 5406900 is about 175.5157573858.

The spelling of 5406900 in words is "five million, four hundred six thousand, nine hundred".