49441920 has 128 divisors (see below), whose sum is σ = 171996480. Its totient is φ = 11980800.

The previous prime is 49441919. The next prime is 49441921. The reversal of 49441920 is 2914494.

It is an interprime number because it is at equal distance from previous prime (49441919) and next prime (49441921).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (49441921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19950 + ... + 22290.

Almost surely, 2^49441920 is an apocalyptic number.

49441920 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 49441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85998240).

49441920 is an abundant number, since it is smaller than the sum of its proper divisors (122554560).

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

49441920 is a wasteful number, since it uses less digits than its factorization.

49441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49441920 is about 7031.4948624030. The cubic root of 49441920 is about 367.0273622337.

The spelling of 49441920 in words is "forty-nine million, four hundred forty-one thousand, nine hundred twenty".