47946000 has 160 divisors (see below), whose sum is σ = 158311296. Its totient is φ = 12480000.

The previous prime is 47945999. The next prime is 47946011. The reversal of 47946000 is 64974.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365935 + ... + 366065.

Almost surely, 2^47946000 is an apocalyptic number.

47946000 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 47946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79155648).

47946000 is an abundant number, since it is smaller than the sum of its proper divisors (110365296).

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

47946000 is a wasteful number, since it uses less digits than its factorization.

47946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 47946000 is about 6924.3050192781. The cubic root of 47946000 is about 363.2877833835.

The spelling of 47946000 in words is "forty-seven million, nine hundred forty-six thousand".