49782534400 has 81 divisors (see below), whose sum is σ = 123263747551. Its totient is φ = 19905873920.

The previous prime is 49782534379. The next prime is 49782534407. The reversal of 49782534400 is 443528794.

It is a happy number.

The square root of 49782534400 is 223120.

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 7139584 + 49775394816 = 2672^2 + 223104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49782534407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17848206 + ... + 17850994.

Almost surely, 2^49782534400 is an apocalyptic number.

49782534400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49782534400 is the 223120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49782534400

49782534400 is an abundant number, since it is smaller than the sum of its proper divisors (73481213151).

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

49782534400 is an frugal number, since it uses more digits than its factorization.

49782534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 49782534400 in words is "forty-nine billion, seven hundred eighty-two million, five hundred thirty-four thousand, four hundred".