47617440 has 144 divisors (see below), whose sum is σ = 162697248. Its totient is φ = 11701248.

The previous prime is 47617433. The next prime is 47617447. The reversal of 47617440 is 4471674.

It is an interprime number because it is at equal distance from previous prime (47617433) and next prime (47617447).

It is not an unprimeable number, because it can be changed into a prime (47617447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80827 + ... + 81413.

It is an arithmetic number, because the mean of its divisors is an integer number (1129842).

Almost surely, 2^47617440 is an apocalyptic number.

47617440 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 47617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81348624).

47617440 is an abundant number, since it is smaller than the sum of its proper divisors (115079808).

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

47617440 is a wasteful number, since it uses less digits than its factorization.

47617440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 47617440 is about 6900.5391093740. The cubic root of 47617440 is about 362.4560454038.

The spelling of 47617440 in words is "forty-seven million, six hundred seventeen thousand, four hundred forty".