47734320 has 80 divisors (see below), whose sum is σ = 149490432. Its totient is φ = 12599040.

The previous prime is 47734301. The next prime is 47734321. The reversal of 47734320 is 2343774.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47734321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23755 + ... + 25685.

Almost surely, 2^47734320 is an apocalyptic number.

47734320 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 47734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74745216).

47734320 is an abundant number, since it is smaller than the sum of its proper divisors (101756112).

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

47734320 is a wasteful number, since it uses less digits than its factorization.

47734320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 47734320 is about 6909.0028224050. The cubic root of 47734320 is about 362.7523601447.

The spelling of 47734320 in words is "forty-seven million, seven hundred thirty-four thousand, three hundred twenty".