49974144 has 64 divisors (see below), whose sum is σ = 144823680. Its totient is φ = 15142400.

The previous prime is 49974143. The next prime is 49974151. The reversal of 49974144 is 44147994.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 49974096 and 49974105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49974143) 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, 1692 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (2262870).

Almost surely, 2^49974144 is an apocalyptic number.

49974144 is a gapful number since it is divisible by the number (44) 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 49974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72411840).

49974144 is an abundant number, since it is smaller than the sum of its proper divisors (94849536).

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

49974144 is a wasteful number, since it uses less digits than its factorization.

49974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11847 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 49974144 is about 7069.2392801489. The cubic root of 49974144 is about 368.3396360357.

The spelling of 49974144 in words is "forty-nine million, nine hundred seventy-four thousand, one hundred forty-four".