47464000 has 112 divisors (see below), whose sum is σ = 124815600. Its totient is φ = 17817600.

The previous prime is 47463971. The next prime is 47464003. The reversal of 47464000 is 46474.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5161984 + 42302016 = 2272^2 + 6504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (47464003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135826 + ... + 136174.

It is an arithmetic number, because the mean of its divisors is an integer number (1114425).

Almost surely, 2^47464000 is an apocalyptic number.

47464000 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 47464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

47464000 is an abundant number, since it is smaller than the sum of its proper divisors (77351600).

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

47464000 is a wasteful number, since it uses less digits than its factorization.

47464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 47464000 is about 6889.4121665059. The cubic root of 47464000 is about 362.0663065460.

The spelling of 47464000 in words is "forty-seven million, four hundred sixty-four thousand".