5406400 has 84 divisors (see below), whose sum is σ = 13858240. Its totient is φ = 2073600.

The previous prime is 5406397. The next prime is 5406407. The reversal of 5406400 is 46045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49546 + ... + 49654.

Almost surely, 2^5406400 is an apocalyptic number.

5406400 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 5406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929120).

5406400 is an abundant number, since it is smaller than the sum of its proper divisors (8451840).

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

5406400 is a wasteful number, since it uses less digits than its factorization.

5406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

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

The square root of 5406400 is about 2325.1666606934. The cubic root of 5406400 is about 175.5103469791.

The spelling of 5406400 in words is "five million, four hundred six thousand, four hundred".