49156800 has 504 divisors, whose sum is σ = 215432640. Its totient is φ = 9676800.

The previous prime is 49156799. The next prime is 49156823. The reversal of 49156800 is 865194.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587191 + ... + 2587209.

Almost surely, 2^49156800 is an apocalyptic number.

49156800 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 49156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107716320).

49156800 is an abundant number, since it is smaller than the sum of its proper divisors (166275840).

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

49156800 is a wasteful number, since it uses less digits than its factorization.

49156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 49156800 is about 7011.1910543074. The cubic root of 49156800 is about 366.3204813356.

It can be divided in two parts, 491 and 56800, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 49156800 in words is "forty-nine million, one hundred fifty-six thousand, eight hundred".