47462880 has 96 divisors (see below), whose sum is σ = 152052768. Its totient is φ = 12441600.

The previous prime is 47462873. The next prime is 47462881. The reversal of 47462880 is 8826474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47462881) 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, 28470 + ... + 30090.

It is an arithmetic number, because the mean of its divisors is an integer number (1583883).

Almost surely, 2^47462880 is an apocalyptic number.

47462880 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 47462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026384).

47462880 is an abundant number, since it is smaller than the sum of its proper divisors (104589888).

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

47462880 is a wasteful number, since it uses less digits than its factorization.

47462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 47462880 is about 6889.3308818782. The cubic root of 47462880 is about 362.0634586511.

It can be divided in two parts, 4746 and 2880, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 47462880 in words is "forty-seven million, four hundred sixty-two thousand, eight hundred eighty".