49546080 has 120 divisors (see below), whose sum is σ = 174902112. Its totient is φ = 13208832.

The previous prime is 49546073. The next prime is 49546087. The reversal of 49546080 is 8064594.

49546080 is a `hidden beast` number, since 49 + 5 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49546073) and next prime (49546087).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49546087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11049 + ... + 14871.

Almost surely, 2^49546080 is an apocalyptic number.

49546080 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 49546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87451056).

49546080 is an abundant number, since it is smaller than the sum of its proper divisors (125356032).

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

49546080 is a wasteful number, since it uses less digits than its factorization.

49546080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49546080 is about 7038.8976409662. The cubic root of 49546080 is about 367.2849220477.

The spelling of 49546080 in words is "forty-nine million, five hundred forty-six thousand, eighty".