47969376 has 288 divisors, whose sum is σ = 173295360. Its totient is φ = 11280384.

The previous prime is 47969371. The next prime is 47969377. The reversal of 47969376 is 67396974.

It is a super-2 number, since 2×47969376² = 4602122067658752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47969371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2524695 + ... + 2524713.

It is an arithmetic number, because the mean of its divisors is an integer number (601720).

Almost surely, 2^47969376 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 47969376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86647680).

47969376 is an abundant number, since it is smaller than the sum of its proper divisors (125325984).

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

47969376 is a wasteful number, since it uses less digits than its factorization.

47969376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The square root of 47969376 is about 6925.9927808221. The cubic root of 47969376 is about 363.3468139281.

The spelling of 47969376 in words is "forty-seven million, nine hundred sixty-nine thousand, three hundred seventy-six".