47126464 has 112 divisors (see below), whose sum is σ = 119091456. Its totient is φ = 17971200.

The previous prime is 47126459. The next prime is 47126467. The reversal of 47126464 is 46462174.

47126464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (32256) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47126467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359679 + ... + 359809.

Almost surely, 2^47126464 is an apocalyptic number.

47126464 is a gapful number since it is divisible by the number (44) 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 47126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59545728).

47126464 is an abundant number, since it is smaller than the sum of its proper divisors (71964992).

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

47126464 is a wasteful number, since it uses less digits than its factorization.

47126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 47126464 is about 6864.8717395156. The cubic root of 47126464 is about 361.2059965639.

The spelling of 47126464 in words is "forty-seven million, one hundred twenty-six thousand, four hundred sixty-four".