49918680 has 320 divisors, whose sum is σ = 200724480. Its totient is φ = 10886400.

The previous prime is 49918669. The next prime is 49918691. The reversal of 49918680 is 8681994.

49918680 is a `hidden beast` number, since 499 + 1 + 86 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (49918669) and next prime (49918691).

It is a super-2 number, since 2×49918680² = 4983749225884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703045 + ... + 703115.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 2^49918680 is an apocalyptic number.

49918680 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 49918680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100362240).

49918680 is an abundant number, since it is smaller than the sum of its proper divisors (150805800).

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

49918680 is a wasteful number, since it uses less digits than its factorization.

49918680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 49918680 is about 7065.3152795894. The cubic root of 49918680 is about 368.2033178616.

The spelling of 49918680 in words is "forty-nine million, nine hundred eighteen thousand, six hundred eighty".