49361920 has 88 divisors (see below), whose sum is σ = 122623488. Its totient is φ = 19046400.

The previous prime is 49361881. The next prime is 49361927. The reversal of 49361920 is 2916394.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49361927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158565 + ... + 158875.

Almost surely, 2^49361920 is an apocalyptic number.

49361920 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 49361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61311744).

49361920 is an abundant number, since it is smaller than the sum of its proper divisors (73261568).

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

49361920 is a wasteful number, since it uses less digits than its factorization.

49361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 49361920 is about 7025.8038685975. The cubic root of 49361920 is about 366.8292979202.

The spelling of 49361920 in words is "forty-nine million, three hundred sixty-one thousand, nine hundred twenty".