49586382400 has 189 divisors, whose sum is σ = 129214241571. Its totient is φ = 18726497280.

The previous prime is 49586382397. The next prime is 49586382407. The reversal of 49586382400 is 428368594.

The square root of 49586382400 is 222680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7852795456 + 41733586944 = 88616^2 + 204288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49586382407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169236654 + ... + 169236946.

Almost surely, 2^49586382400 is an apocalyptic number.

49586382400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49586382400 is the 222680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49586382400

49586382400 is an abundant number, since it is smaller than the sum of its proper divisors (79627859171).

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

49586382400 is an equidigital number, since it uses as much as digits as its factorization.

49586382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 49586382400 by its sum of digits (49), we get a square (2429732737600 = 1558760²).

The spelling of 49586382400 in words is "forty-nine billion, five hundred eighty-six million, three hundred eighty-two thousand, four hundred".