5120400 has 120 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 1280000.

The previous prime is 5120399. The next prime is 5120411. The reversal of 5120400 is 40215.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20275 + ... + 20525.

Almost surely, 2^5120400 is an apocalyptic number.

5120400 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 5120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

5120400 is an abundant number, since it is smaller than the sum of its proper divisors (12315984).

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

5120400 is a wasteful number, since it uses less digits than its factorization.

5120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5120400 is about 2262.8300864183. The cubic root of 5120400 is about 172.3592634913.

Adding to 5120400 its reverse (40215), we get a palindrome (5160615).

It can be divided in two parts, 51 and 20400, that multiplied together give a square (1040400 = 1020²).

The spelling of 5120400 in words is "five million, one hundred twenty thousand, four hundred".