47978000 has 160 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 15628800.

The previous prime is 47977991. The next prime is 47978003. The reversal of 47978000 is 87974.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (47978003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321926 + ... + 322074.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^47978000 is an apocalyptic number.

47978000 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 47978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

47978000 is an abundant number, since it is smaller than the sum of its proper divisors (91298800).

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

47978000 is a wasteful number, since it uses less digits than its factorization.

47978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 47978000 is about 6926.6153350681. The cubic root of 47978000 is about 363.3685869523.

The spelling of 47978000 in words is "forty-seven million, nine hundred seventy-eight thousand".