47648000 has 72 divisors (see below), whose sum is σ = 118776840. Its totient is φ = 19046400.

The previous prime is 47647993. The next prime is 47648011. The reversal of 47648000 is 84674.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 41576704 = 2464^2 + 6448^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31256 + ... + 32744.

Almost surely, 2^47648000 is an apocalyptic number.

47648000 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 47648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59388420).

47648000 is an abundant number, since it is smaller than the sum of its proper divisors (71128840).

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

47648000 is an equidigital number, since it uses as much as digits as its factorization.

47648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 47648000 is about 6902.7530739553. The cubic root of 47648000 is about 362.5335680369.

The spelling of 47648000 in words is "forty-seven million, six hundred forty-eight thousand".