49664160 has 288 divisors, whose sum is σ = 209139840. Its totient is φ = 10450944.

The previous prime is 49664149. The next prime is 49664171. The reversal of 49664160 is 6146694.

49664160 is a `hidden beast` number, since 4 + 9 + 6 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49664149) and next prime (49664171).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 130851 + ... + 131229.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^49664160 is an apocalyptic number.

49664160 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 49664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

49664160 is an abundant number, since it is smaller than the sum of its proper divisors (159475680).

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

49664160 is a wasteful number, since it uses less digits than its factorization.

49664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49664160 is about 7047.2803264806. The cubic root of 49664160 is about 367.5764661099.

The spelling of 49664160 in words is "forty-nine million, six hundred sixty-four thousand, one hundred sixty".