5051462400 has 864 divisors, whose sum is σ = 20438691840. Its totient is φ = 1216512000.

The previous prime is 5051462327. The next prime is 5051462401. The reversal of 5051462400 is 42641505.

5051462400 is a `hidden beast` number, since 50 + 514 + 62 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5051462400² = 51034544757227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5051462401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123206380 + ... + 123206420.

Almost surely, 2^5051462400 is an apocalyptic number.

5051462400 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 5051462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219345920).

5051462400 is an abundant number, since it is smaller than the sum of its proper divisors (15387229440).

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

5051462400 is a wasteful number, since it uses less digits than its factorization.

5051462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5051462400 is about 71073.6406834489. The cubic root of 5051462400 is about 1715.8225646651.

It can be divided in two parts, 505 and 1462400, that added together give a triangular number (1462905 = T₁₇₁₀).

The spelling of 5051462400 in words is "five billion, fifty-one million, four hundred sixty-two thousand, four hundred".