47961456 has 40 divisors (see below), whose sum is σ = 125189904. Its totient is φ = 15820800.

The previous prime is 47961443. The next prime is 47961457. The reversal of 47961456 is 65416974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47961457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495 + ... + 9806.

Almost surely, 2^47961456 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 47961456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62594952).

47961456 is an abundant number, since it is smaller than the sum of its proper divisors (77228448).

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

47961456 is a wasteful number, since it uses less digits than its factorization.

47961456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10403 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 47961456 is about 6925.4209980333. The cubic root of 47961456 is about 363.3268159947.

The spelling of 47961456 in words is "forty-seven million, nine hundred sixty-one thousand, four hundred fifty-six".