5046400 has 96 divisors (see below), whose sum is σ = 13280400. Its totient is φ = 1889280.

The previous prime is 5046383. The next prime is 5046401. The reversal of 5046400 is 46405.

5046400 = 28³ + 29³ + ... + 67³.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (5046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60759 + ... + 60841.

Almost surely, 2^5046400 is an apocalyptic number.

5046400 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 5046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

5046400 is an abundant number, since it is smaller than the sum of its proper divisors (8234000).

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

5046400 is a wasteful number, since it uses less digits than its factorization.

5046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5046400 is about 2246.4193731358. The cubic root of 5046400 is about 171.5249193844.

The spelling of 5046400 in words is "five million, forty-six thousand, four hundred".