5461894800 has 300 divisors, whose sum is σ = 20281732020. Its totient is φ = 1406039040.

The previous prime is 5461894751. The next prime is 5461894849. The reversal of 5461894800 is 84981645.

5461894800 is a `hidden beast` number, since 546 + 18 + 94 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5461894751) and next prime (5461894849).

It can be written as a sum of positive squares in 6 ways, for example, as 4822416 + 5457072384 = 2196^2 + 73872^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 936694 + ... + 942506.

Almost surely, 2^5461894800 is an apocalyptic number.

5461894800 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 5461894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140866010).

5461894800 is an abundant number, since it is smaller than the sum of its proper divisors (14819837220).

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

5461894800 is a wasteful number, since it uses less digits than its factorization.

5461894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5461894800 is about 73904.6331429904. The cubic root of 5461894800 is about 1761.0882130354.

The spelling of 5461894800 in words is "five billion, four hundred sixty-one million, eight hundred ninety-four thousand, eight hundred".