47657480 has 64 divisors (see below), whose sum is σ = 118646640. Its totient is φ = 17114112.

The previous prime is 47657473. The next prime is 47657513. The reversal of 47657480 is 8475674.

It can be written as a sum of positive squares in 8 ways, for example, as 22033636 + 25623844 = 4694^2 + 5062^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 18002 + ... + 20478.

Almost surely, 2^47657480 is an apocalyptic number.

47657480 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 47657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59323320).

47657480 is an abundant number, since it is smaller than the sum of its proper divisors (70989160).

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

47657480 is a wasteful number, since it uses less digits than its factorization.

47657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 47657480 is about 6903.4397223413. The cubic root of 47657480 is about 362.5576095519.

The spelling of 47657480 in words is "forty-seven million, six hundred fifty-seven thousand, four hundred eighty".