49550400 has 336 divisors, whose sum is σ = 191495680. Its totient is φ = 12441600.

The previous prime is 49550399. The next prime is 49550401. The reversal of 49550400 is 405594.

It is an interprime number because it is at equal distance from previous prime (49550399) and next prime (49550401).

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 (49550401) 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, 1339182 + ... + 1339218.

Almost surely, 2^49550400 is an apocalyptic number.

49550400 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 49550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95747840).

49550400 is an abundant number, since it is smaller than the sum of its proper divisors (141945280).

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

49550400 is a wasteful number, since it uses less digits than its factorization.

49550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 49550400 is about 7039.2045005100. The cubic root of 49550400 is about 367.2955964526.

Adding to 49550400 its reverse (405594), we get a palindrome (49955994).

The spelling of 49550400 in words is "forty-nine million, five hundred fifty thousand, four hundred".