5414400 has 180 divisors, whose sum is σ = 19788912. Its totient is φ = 1413120.

The previous prime is 5414399. The next prime is 5414413. The reversal of 5414400 is 44145.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115177 + ... + 115223.

Almost surely, 2^5414400 is an apocalyptic number.

5414400 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 5414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894456).

5414400 is an abundant number, since it is smaller than the sum of its proper divisors (14374512).

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

5414400 is a wasteful number, since it uses less digits than its factorization.

5414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5414400 is about 2326.8863315598. The cubic root of 5414400 is about 175.5968734904.

Adding to 5414400 its reverse (44145), we get a palindrome (5458545).

The spelling of 5414400 in words is "five million, four hundred fourteen thousand, four hundred".