47464320 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 12412928.

The previous prime is 47464279. The next prime is 47464327. The reversal of 47464320 is 2346474.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47464327) 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, 113071 + ... + 113489.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^47464320 is an apocalyptic number.

47464320 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 47464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

47464320 is an abundant number, since it is smaller than the sum of its proper divisors (106759680).

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

47464320 is a wasteful number, since it uses less digits than its factorization.

47464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 47464320 is about 6889.4353905092. The cubic root of 47464320 is about 362.0671202220.

The spelling of 47464320 in words is "forty-seven million, four hundred sixty-four thousand, three hundred twenty".