47239920 has 360 divisors, whose sum is σ = 200674656. Its totient is φ = 9870336.

The previous prime is 47239919. The next prime is 47239949. The reversal of 47239920 is 2993274.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×47239920² = 4463220083212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458589 + ... + 458691.

Almost surely, 2^47239920 is an apocalyptic number.

47239920 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 47239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100337328).

47239920 is an abundant number, since it is smaller than the sum of its proper divisors (153434736).

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

47239920 is a wasteful number, since it uses less digits than its factorization.

47239920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 47239920 is about 6873.1302912137. The cubic root of 47239920 is about 361.4956296138.

The spelling of 47239920 in words is "forty-seven million, two hundred thirty-nine thousand, nine hundred twenty".