47720464 has 45 divisors (see below), whose sum is σ = 102279261. Its totient is φ = 21552960.

The previous prime is 47720459. The next prime is 47720467. The reversal of 47720464 is 46402774.

The square root of 47720464 is 6908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13987600 + 33732864 = 3740^2 + 5808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47720467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 303874 + ... + 304030.

Almost surely, 2^47720464 is an apocalyptic number.

47720464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

47720464 is the 6908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47720464

47720464 is an abundant number, since it is smaller than the sum of its proper divisors (54558797).

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

47720464 is a wasteful number, since it uses less digits than its factorization.

47720464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The cubic root of 47720464 is about 362.7172576362.

It can be divided in two parts, 47720 and 464, that added together give a palindrome (48184).

The spelling of 47720464 in words is "forty-seven million, seven hundred twenty thousand, four hundred sixty-four".