49610880 has 384 divisors, whose sum is σ = 200491200. Its totient is φ = 11612160.

The previous prime is 49610849. The next prime is 49610921. The reversal of 49610880 is 8801694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49610880² = 4922478828748800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710706 + ... + 1710734.

Almost surely, 2^49610880 is an apocalyptic number.

49610880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49610880 is the 4455-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

49610880 is an abundant number, since it is smaller than the sum of its proper divisors (150880320).

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

49610880 is a wasteful number, since it uses less digits than its factorization.

49610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49610880 is about 7043.4991304039. The cubic root of 49610880 is about 367.4449730188. Note that the first 3 decimals are identical.

The spelling of 49610880 in words is "forty-nine million, six hundred ten thousand, eight hundred eighty".