47613400 has 48 divisors (see below), whose sum is σ = 111198240. Its totient is φ = 18960000.

The previous prime is 47613383. The next prime is 47613403. The reversal of 47613400 is 431674.

47613400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47613403) 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 11 ways as a sum of consecutive naturals, for example, 63025 + ... + 63775.

It is an arithmetic number, because the mean of its divisors is an integer number (2316630).

Almost surely, 2^47613400 is an apocalyptic number.

47613400 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 47613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55599120).

47613400 is an abundant number, since it is smaller than the sum of its proper divisors (63584840).

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

47613400 is a wasteful number, since it uses less digits than its factorization.

47613400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 47613400 is about 6900.2463724131. The cubic root of 47613400 is about 362.4457945109.

The spelling of 47613400 in words is "forty-seven million, six hundred thirteen thousand, four hundred".