47673000 has 96 divisors (see below), whose sum is σ = 161165160. Its totient is φ = 12710400.

The previous prime is 47672971. The next prime is 47673001. The reversal of 47673000 is 37674.

It can be written as a sum of positive squares in 4 ways, for example, as 21846276 + 25826724 = 4674^2 + 5082^2 .

It is not an unprimeable number, because it can be changed into a prime (47673001) 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, 6352 + ... + 11648.

Almost surely, 2^47673000 is an apocalyptic number.

47673000 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 47673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582580).

47673000 is an abundant number, since it is smaller than the sum of its proper divisors (113492160).

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

47673000 is a wasteful number, since it uses less digits than its factorization.

47673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 47673000 is about 6904.5637081571. The cubic root of 47673000 is about 362.5969617753.

The spelling of 47673000 in words is "forty-seven million, six hundred seventy-three thousand".