47466000 has 200 divisors, whose sum is σ = 172035864. Its totient is φ = 12614400.

The previous prime is 47465993. The next prime is 47466019. The reversal of 47466000 is 66474.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 47279376 = 432^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161854 + ... + 162146.

Almost surely, 2^47466000 is an apocalyptic number.

47466000 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 47466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86017932).

47466000 is an abundant number, since it is smaller than the sum of its proper divisors (124569864).

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

47466000 is a wasteful number, since it uses less digits than its factorization.

47466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47466000 is about 6889.5573152417. The cubic root of 47466000 is about 362.0713919612.

The spelling of 47466000 in words is "forty-seven million, four hundred sixty-six thousand".