5340400 has 90 divisors (see below), whose sum is σ = 14069040. Its totient is φ = 1946880.

The previous prime is 5340389. The next prime is 5340409. The reversal of 5340400 is 40435.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67561 + ... + 67639.

Almost surely, 2^5340400 is an apocalyptic number.

5340400 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 5340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034520).

5340400 is an abundant number, since it is smaller than the sum of its proper divisors (8728640).

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

5340400 is a wasteful number, since it uses less digits than its factorization.

5340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5340400 is about 2310.9305485021. The cubic root of 5340400 is about 174.7932251649.

Adding to 5340400 its reverse (40435), we get a palindrome (5380835).

The spelling of 5340400 in words is "five million, three hundred forty thousand, four hundred".