5150400 has 168 divisors, whose sum is σ = 17952720. Its totient is φ = 1290240.

The previous prime is 5150389. The next prime is 5150407. The reversal of 5150400 is 40515.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5150400.

It is not an unprimeable number, because it can be changed into a prime (5150407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139182 + ... + 139218.

Almost surely, 2^5150400 is an apocalyptic number.

5150400 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 5150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976360).

5150400 is an abundant number, since it is smaller than the sum of its proper divisors (12802320).

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

5150400 is a wasteful number, since it uses less digits than its factorization.

5150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5150400 is about 2269.4492724007. The cubic root of 5150400 is about 172.6952211157.

Adding to 5150400 its reverse (40515), we get a palindrome (5190915).

The spelling of 5150400 in words is "five million, one hundred fifty thousand, four hundred".