47466144 has 72 divisors (see below), whose sum is σ = 147262752. Its totient is φ = 14382720.

The previous prime is 47466119. The next prime is 47466157. The reversal of 47466144 is 44166474.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47466099 and 47466108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4324 + ... + 10659.

It is an arithmetic number, because the mean of its divisors is an integer number (2045316).

Almost surely, 2^47466144 is an apocalyptic number.

47466144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47466144 is an abundant number, since it is smaller than the sum of its proper divisors (99796608).

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

47466144 is a wasteful number, since it uses less digits than its factorization.

47466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15010 (or 14999 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47466144 is about 6889.5677658326. The cubic root of 47466144 is about 362.0717581056.

The spelling of 47466144 in words is "forty-seven million, four hundred sixty-six thousand, one hundred forty-four".