47049960 has 128 divisors (see below), whose sum is σ = 147692160. Its totient is φ = 11980800.

The previous prime is 47049953. The next prime is 47049967. The reversal of 47049960 is 6994074.

47049960 = T₁ + T₂ + ... + T₆₅₅.

47049960 is a nontrivial binomial coefficient, being equal to C(657, 3).

It is an interprime number because it is at equal distance from previous prime (47049953) and next prime (47049967).

It is not an unprimeable number, because it can be changed into a prime (47049967) by changing a digit.

It is the 655-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359095 + ... + 359225.

It is an arithmetic number, because the mean of its divisors is an integer number (1153845).

Almost surely, 2^47049960 is an apocalyptic number.

47049960 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 47049960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73846080).

47049960 is an abundant number, since it is smaller than the sum of its proper divisors (100642200).

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

47049960 is a wasteful number, since it uses less digits than its factorization.

47049960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 47049960 is about 6859.2973401071. The cubic root of 47049960 is about 361.0104329108.

The spelling of 47049960 in words is "forty-seven million, forty-nine thousand, nine hundred sixty".