47460816 has 140 divisors (see below), whose sum is σ = 148949668. Its totient is φ = 14556672.

The previous prime is 47460793. The next prime is 47460851. The reversal of 47460816 is 61806474.

47460816 is a `hidden beast` number, since 47 + 4 + 608 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 44836416 = 1620^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151476 + ... + 151788.

Almost surely, 2^47460816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474834).

47460816 is an abundant number, since it is smaller than the sum of its proper divisors (101488852).

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

47460816 is a wasteful number, since it uses less digits than its factorization.

47460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47460816 is about 6889.1810834090. The cubic root of 47460816 is about 362.0582102702.

The spelling of 47460816 in words is "forty-seven million, four hundred sixty thousand, eight hundred sixteen".