49208852400 has 240 divisors, whose sum is σ = 166959373440. Its totient is φ = 12354508800.

The previous prime is 49208852387. The next prime is 49208852401. The reversal of 49208852400 is 425880294.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×49208852400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49208852401) 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, 3709780 + ... + 3723020.

It is an arithmetic number, because the mean of its divisors is an integer number (695664056).

Almost surely, 2^49208852400 is an apocalyptic number.

49208852400 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 49208852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83479686720).

49208852400 is an abundant number, since it is smaller than the sum of its proper divisors (117750521040).

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

49208852400 is a wasteful number, since it uses less digits than its factorization.

49208852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13444 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 49208852400 in words is "forty-nine billion, two hundred eight million, eight hundred fifty-two thousand, four hundred".