49668480 has 96 divisors (see below), whose sum is σ = 171531360. Its totient is φ = 13243392.

The previous prime is 49668469. The next prime is 49668491. The reversal of 49668480 is 8486694.

It is a happy number.

49668480 is a `hidden beast` number, since 496 + 6 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (49668469) and next prime (49668491).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1449 + ... + 10071.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^49668480 is an apocalyptic number.

49668480 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 49668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680).

49668480 is an abundant number, since it is smaller than the sum of its proper divisors (121862880).

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

49668480 is a wasteful number, since it uses less digits than its factorization.

49668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8648 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49668480 is about 7047.5868210331. The cubic root of 49668480 is about 367.5871235893.

The spelling of 49668480 in words is "forty-nine million, six hundred sixty-eight thousand, four hundred eighty".