47473920 has 216 divisors, whose sum is σ = 177447816. Its totient is φ = 11649024.

The previous prime is 47473903. The next prime is 47473961. The reversal of 47473920 is 2937474.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 46457856 = 1008^2 + 6816^2 .

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 23 ways as a sum of consecutive naturals, for example, 149602 + ... + 149918.

Almost surely, 2^47473920 is an apocalyptic number.

47473920 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 47473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88723908).

47473920 is an abundant number, since it is smaller than the sum of its proper divisors (129973896).

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

47473920 is a wasteful number, since it uses less digits than its factorization.

47473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

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

The square root of 47473920 is about 6890.1320742058. The cubic root of 47473920 is about 362.0915288027.

The spelling of 47473920 in words is "forty-seven million, four hundred seventy-three thousand, nine hundred twenty".