49920000 has 240 divisors, whose sum is σ = 179098920. Its totient is φ = 12288000.

The previous prime is 49919977. The next prime is 49920019. The reversal of 49920000 is 2994.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 520 × 200 × 480.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3839994 + ... + 3840006.

Almost surely, 2^49920000 is an apocalyptic number.

49920000 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 49920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89549460).

49920000 is an abundant number, since it is smaller than the sum of its proper divisors (129178920).

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

49920000 is an equidigital number, since it uses as much as digits as its factorization.

49920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 49920000 is about 7065.4086930623. The cubic root of 49920000 is about 368.2065633006.

Adding to 49920000 its reverse (2994), we get a palindrome (49922994).

The spelling of 49920000 in words is "forty-nine million, nine hundred twenty thousand".