5456917800 has 288 divisors, whose sum is σ = 19387524000. Its totient is φ = 1371686400.

The previous prime is 5456917799. The next prime is 5456917801. The reversal of 5456917800 is 87196545.

5456917800 is a `hidden beast` number, since 5 + 4 + 569 + 1 + 7 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5456917799) and next prime (5456917801).

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

It is not an unprimeable number, because it can be changed into a prime (5456917801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12961590 + ... + 12962010.

Almost surely, 2^5456917800 is an apocalyptic number.

5456917800 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 5456917800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693762000).

5456917800 is an abundant number, since it is smaller than the sum of its proper divisors (13930606200).

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

5456917800 is a wasteful number, since it uses less digits than its factorization.

5456917800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5456917800 is about 73870.9536962939. The cubic root of 5456917800 is about 1760.5531362306.

The spelling of 5456917800 in words is "five billion, four hundred fifty-six million, nine hundred seventeen thousand, eight hundred".