47625456 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 15037440.

The previous prime is 47625437. The next prime is 47625463. The reversal of 47625456 is 65452674.

Its product of digits (201600) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197496 + ... + 197736.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^47625456 is an apocalyptic number.

47625456 is a gapful number since it is divisible by the number (46) 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 47625456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

47625456 is an abundant number, since it is smaller than the sum of its proper divisors (82009104).

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

47625456 is a wasteful number, since it uses less digits than its factorization.

47625456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 47625456 is about 6901.1199091162. The cubic root of 47625456 is about 362.4763830829.

The spelling of 47625456 in words is "forty-seven million, six hundred twenty-five thousand, four hundred fifty-six".