5380400 has 30 divisors (see below), whose sum is σ = 12927372. Its totient is φ = 2152000.

The previous prime is 5380393. The next prime is 5380409. The reversal of 5380400 is 40835.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5380409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6326 + ... + 7125.

Almost surely, 2^5380400 is an apocalyptic number.

5380400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5380400 is an abundant number, since it is smaller than the sum of its proper divisors (7546972).

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

5380400 is a wasteful number, since it uses less digits than its factorization.

5380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13469 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5380400 is about 2319.5689254687. The cubic root of 5380400 is about 175.2285449344.

The spelling of 5380400 in words is "five million, three hundred eighty thousand, four hundred".