49144800 has 72 divisors (see below), whose sum is σ = 159974136. Its totient is φ = 13104640.

The previous prime is 49144793. The next prime is 49144871. The reversal of 49144800 is 844194.

It is a super-2 number, since 2×49144800² = 4830422734080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7839 + ... + 12638.

It is an arithmetic number, because the mean of its divisors is an integer number (2221863).

Almost surely, 2^49144800 is an apocalyptic number.

49144800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49144800 is an abundant number, since it is smaller than the sum of its proper divisors (110829336).

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

49144800 is a wasteful number, since it uses less digits than its factorization.

49144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 49144800 is about 7010.3352273625. The cubic root of 49144800 is about 366.2906705836.

Adding to 49144800 its reverse (844194), we get a palindrome (49988994).

The spelling of 49144800 in words is "forty-nine million, one hundred forty-four thousand, eight hundred".