5456000 has 128 divisors (see below), whose sum is σ = 15275520. Its totient is φ = 1920000.

The previous prime is 5455951. The next prime is 5456027. The reversal of 5456000 is 6545.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175985 + ... + 176015.

It is an arithmetic number, because the mean of its divisors is an integer number (119340).

Almost surely, 2^5456000 is an apocalyptic number.

5456000 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 5456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760).

5456000 is an abundant number, since it is smaller than the sum of its proper divisors (9819520).

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

5456000 is a wasteful number, since it uses less digits than its factorization.

5456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5456000 is about 2335.8082113050. The cubic root of 5456000 is about 176.0454428112.

The spelling of 5456000 in words is "five million, four hundred fifty-six thousand".