5010456400 has 30 divisors (see below), whose sum is σ = 12037622462. Its totient is φ = 2004182400.

The previous prime is 5010456361. The next prime is 5010456403. The reversal of 5010456400 is 46540105.

It can be written as a sum of positive squares in 3 ways, for example, as 50353216 + 4960103184 = 7096^2 + 70428^2 .

It is a super-3 number, since 3×5010456400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010456403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6262671 + ... + 6263470.

Almost surely, 2^5010456400 is an apocalyptic number.

5010456400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5010456400 is an abundant number, since it is smaller than the sum of its proper divisors (7027166062).

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

5010456400 is a wasteful number, since it uses less digits than its factorization.

5010456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526159 (or 12526148 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5010456400 is about 70784.5774162706. The cubic root of 5010456400 is about 1711.1671295292.

Adding to 5010456400 its reverse (46540105), we get a palindrome (5056996505).

The spelling of 5010456400 in words is "five billion, ten million, four hundred fifty-six thousand, four hundred".