47292960 has 288 divisors, whose sum is σ = 179299008. Its totient is φ = 10383360.

The previous prime is 47292941. The next prime is 47293003. The reversal of 47292960 is 6929274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892294 + ... + 892346.

It is an arithmetic number, because the mean of its divisors is an integer number (622566).

Almost surely, 2^47292960 is an apocalyptic number.

47292960 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 47292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89649504).

47292960 is an abundant number, since it is smaller than the sum of its proper divisors (132006048).

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

47292960 is a wasteful number, since it uses less digits than its factorization.

47292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 47292960 is about 6876.9877126544. The cubic root of 47292960 is about 361.6308722695.

The spelling of 47292960 in words is "forty-seven million, two hundred ninety-two thousand, nine hundred sixty".