49151520 has 288 divisors, whose sum is σ = 191056320. Its totient is φ = 11397120.

The previous prime is 49151513. The next prime is 49151533. The reversal of 49151520 is 2515194.

49151520 is a `hidden beast` number, since 4 + 91 + 51 + 520 = 666.

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

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, 459307 + ... + 459413.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^49151520 is an apocalyptic number.

49151520 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 49151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

49151520 is an abundant number, since it is smaller than the sum of its proper divisors (141904800).

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

49151520 is a wasteful number, since it uses less digits than its factorization.

49151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 49151520 is about 7010.8145033227. The cubic root of 49151520 is about 366.3073652025.

The spelling of 49151520 in words is "forty-nine million, one hundred fifty-one thousand, five hundred twenty".