5451600 has 240 divisors, whose sum is σ = 22141440. Its totient is φ = 1113600.

The previous prime is 5451599. The next prime is 5451601. The reversal of 5451600 is 61545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5451599) and next prime (5451601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5451601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92371 + ... + 92429.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

Almost surely, 2^5451600 is an apocalyptic number.

5451600 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 5451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

5451600 is an abundant number, since it is smaller than the sum of its proper divisors (16689840).

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

5451600 is a wasteful number, since it uses less digits than its factorization.

5451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5451600 is about 2334.8661631879. The cubic root of 5451600 is about 175.9981060402.

It can be divided in two parts, 545 and 1600, that added together give a triangular number (2145 = T₆₅).

The spelling of 5451600 in words is "five million, four hundred fifty-one thousand, six hundred".