49319424 has 240 divisors, whose sum is σ = 178738560. Its totient is φ = 12718080.

The previous prime is 49319407. The next prime is 49319441. The reversal of 49319424 is 42491394.

It is an interprime number because it is at equal distance from previous prime (49319407) and next prime (49319441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354747 + ... + 354885.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^49319424 is an apocalyptic number.

49319424 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 49319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

49319424 is an abundant number, since it is smaller than the sum of its proper divisors (129419136).

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

49319424 is a wasteful number, since it uses less digits than its factorization.

49319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 49319424 is about 7022.7789371445. The cubic root of 49319424 is about 366.7239991158.

The spelling of 49319424 in words is "forty-nine million, three hundred nineteen thousand, four hundred twenty-four".