47437920 has 192 divisors, whose sum is σ = 169344000. Its totient is φ = 12400128.

The previous prime is 47437919. The next prime is 47437921. The reversal of 47437920 is 2973474.

It is an interprime number because it is at equal distance from previous prime (47437919) and next prime (47437921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47437921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341211 + ... + 341349.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^47437920 is an apocalyptic number.

47437920 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 47437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

47437920 is an abundant number, since it is smaller than the sum of its proper divisors (121906080).

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

47437920 is a wasteful number, since it uses less digits than its factorization.

47437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 47437920 is about 6887.5191469788. The cubic root of 47437920 is about 361.9999796506. Note that the first 4 decimals are identical.

The spelling of 47437920 in words is "forty-seven million, four hundred thirty-seven thousand, nine hundred twenty".