49614880 has 96 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 16450560.

The previous prime is 49614869. The next prime is 49614881. The reversal of 49614880 is 8841694.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (49614881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34006 + ... + 35434.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^49614880 is an apocalyptic number.

49614880 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 49614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

49614880 is an abundant number, since it is smaller than the sum of its proper divisors (88763360).

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

49614880 is a wasteful number, since it uses less digits than its factorization.

49614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 49614880 is about 7043.7830744565. The cubic root of 49614880 is about 367.4548481403.

It can be divided in two parts, 496 and 14880, that added together give a square (15376 = 124²).

The spelling of 49614880 in words is "forty-nine million, six hundred fourteen thousand, eight hundred eighty".