47959890 has 128 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 10705920.

The previous prime is 47959843. The next prime is 47959897. The reversal of 47959890 is 9895974.

47959890 = T₃₅₂ + T₃₅₃ + ... + T₆₉₁.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (47959897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465579 + ... + 465681.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^47959890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47959890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

47959890 is an abundant number, since it is smaller than the sum of its proper divisors (87902382).

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

47959890 is a wasteful number, since it uses less digits than its factorization.

47959890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 47959890 is about 6925.3079353918. The cubic root of 47959890 is about 363.3228615972.

The spelling of 47959890 in words is "forty-seven million, nine hundred fifty-nine thousand, eight hundred ninety".