39471960 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 9000960.

The previous prime is 39471947. The next prime is 39471961. The reversal of 39471960 is 6917493.

39471960 = 430² + 431² + ... + 582².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39471961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21561 + ... + 23319.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 2^39471960 is an apocalyptic number.

39471960 is a gapful number since it is divisible by the number (30) 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 39471960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

39471960 is an abundant number, since it is smaller than the sum of its proper divisors (97385640).

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

39471960 is a wasteful number, since it uses less digits than its factorization.

39471960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 39471960 is about 6282.6714063366. The cubic root of 39471960 is about 340.4836254770.

The spelling of 39471960 in words is "thirty-nine million, four hundred seventy-one thousand, nine hundred sixty".