49683302400 has 576 divisors, whose sum is σ = 177682377600. Its totient is φ = 12200181760.

The previous prime is 49683302399. The next prime is 49683302401. The reversal of 49683302400 is 420338694.

It is an interprime number because it is at equal distance from previous prime (49683302399) and next prime (49683302401).

It is not an unprimeable number, because it can be changed into a prime (49683302401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138393421 + ... + 138393779.

It is an arithmetic number, because the mean of its divisors is an integer number (308476350).

Almost surely, 2^49683302400 is an apocalyptic number.

49683302400 is a gapful number since it is divisible by the number (40) 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 49683302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88841188800).

49683302400 is an abundant number, since it is smaller than the sum of its proper divisors (127999075200).

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

49683302400 is a wasteful number, since it uses less digits than its factorization.

49683302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 49683302400 in words is "forty-nine billion, six hundred eighty-three million, three hundred two thousand, four hundred".