47302368 has 48 divisors (see below), whose sum is σ = 124595856. Its totient is φ = 15713280.

The previous prime is 47302349. The next prime is 47302369. The reversal of 47302368 is 86320374.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47302369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35148 + ... + 36468.

It is an arithmetic number, because the mean of its divisors is an integer number (2595747).

Almost surely, 2^47302368 is an apocalyptic number.

47302368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47302368 is an abundant number, since it is smaller than the sum of its proper divisors (77293488).

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

47302368 is a wasteful number, since it uses less digits than its factorization.

47302368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 47302368 is about 6877.6716990563. The cubic root of 47302368 is about 361.6548504520.

Adding to 47302368 its sum of digits (33), we get a triangular number (47302401 = T₉₇₂₆).

The spelling of 47302368 in words is "forty-seven million, three hundred two thousand, three hundred sixty-eight".