47601472 has 56 divisors (see below), whose sum is σ = 97795080. Its totient is φ = 22978560.

The previous prime is 47601457. The next prime is 47601487. The reversal of 47601472 is 27410674.

It is an interprime number because it is at equal distance from previous prime (47601457) and next prime (47601487).

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 47554816 = 216^2 + 6896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347388 + ... + 347524.

Almost surely, 2^47601472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48897540).

47601472 is an abundant number, since it is smaller than the sum of its proper divisors (50193608).

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

47601472 is a wasteful number, since it uses less digits than its factorization.

47601472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 47601472 is about 6899.3820013100. The cubic root of 47601472 is about 362.4155256194.

The spelling of 47601472 in words is "forty-seven million, six hundred one thousand, four hundred seventy-two".