49501760 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 15052800.

The previous prime is 49501759. The next prime is 49501787. The reversal of 49501760 is 6710594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207340 + ... + 1207380.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^49501760 is an apocalyptic number.

49501760 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 49501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

49501760 is an abundant number, since it is smaller than the sum of its proper divisors (104117440).

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

49501760 is a wasteful number, since it uses less digits than its factorization.

49501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 49501760 is about 7035.7487163770. The cubic root of 49501760 is about 367.1753747075.

The spelling of 49501760 in words is "forty-nine million, five hundred one thousand, seven hundred sixty".