47813440 has 28 divisors (see below), whose sum is σ = 113856516. Its totient is φ = 19125248.

The previous prime is 47813413. The next prime is 47813449. The reversal of 47813440 is 4431874.

It can be written as a sum of positive squares in 2 ways, for example, as 29767936 + 18045504 = 5456^2 + 4248^2 .

It is a super-2 number, since 2×47813440² = 4572250089267200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47813449) 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 3 ways as a sum of consecutive naturals, for example, 74389 + ... + 75028.

Almost surely, 2^47813440 is an apocalyptic number.

47813440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47813440 is an abundant number, since it is smaller than the sum of its proper divisors (66043076).

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

47813440 is a wasteful number, since it uses less digits than its factorization.

47813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149434 (or 149424 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 47813440 is about 6914.7263141790. The cubic root of 47813440 is about 362.9526711157.

It can be divided in two parts, 478 and 13440, that multiplied together give a triangular number (6424320 = T₃₅₈₄).

The spelling of 47813440 in words is "forty-seven million, eight hundred thirteen thousand, four hundred forty".