49260768 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 15353856.

The previous prime is 49260751. The next prime is 49260833. The reversal of 49260768 is 86706294.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205993 + ... + 206231.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^49260768 is an apocalyptic number.

49260768 is a gapful number since it is divisible by the number (48) 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 49260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

49260768 is an abundant number, since it is smaller than the sum of its proper divisors (88633632).

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

49260768 is a wasteful number, since it uses less digits than its factorization.

49260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 49260768 is about 7018.6015701135. The cubic root of 49260768 is about 366.5785588115.

The spelling of 49260768 in words is "forty-nine million, two hundred sixty thousand, seven hundred sixty-eight".