5153400 has 144 divisors (see below), whose sum is σ = 19827600. Its totient is φ = 1175040.

The previous prime is 5153383. The next prime is 5153437. The reversal of 5153400 is 43515.

5153400 = 77² + 78² + ... + 251².

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12396 + ... + 12804.

Almost surely, 2^5153400 is an apocalyptic number.

5153400 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 5153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913800).

5153400 is an abundant number, since it is smaller than the sum of its proper divisors (14674200).

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

5153400 is a wasteful number, since it uses less digits than its factorization.

5153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5153400 is about 2270.1101294871. The cubic root of 5153400 is about 172.7287450559.

Adding to 5153400 its reverse (43515), we get a palindrome (5196915).

The spelling of 5153400 in words is "five million, one hundred fifty-three thousand, four hundred".