5462800 has 60 divisors (see below), whose sum is σ = 15006976. Its totient is φ = 1872000.

The previous prime is 5462783. The next prime is 5462803. The reversal of 5462800 is 82645.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5462803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1825 + ... + 3775.

Almost surely, 2^5462800 is an apocalyptic number.

5462800 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 5462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503488).

5462800 is an abundant number, since it is smaller than the sum of its proper divisors (9544176).

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

5462800 is a wasteful number, since it uses less digits than its factorization.

5462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5462800 is about 2337.2633570054. The cubic root of 5462800 is about 176.1185496063.

The spelling of 5462800 in words is "five million, four hundred sixty-two thousand, eight hundred".