471266640 has 240 divisors, whose sum is σ = 1759083840. Its totient is φ = 115914240.

The previous prime is 471266597. The next prime is 471266641. The reversal of 471266640 is 46662174.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 471266595 and 471266604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471266641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364395 + ... + 365685.

It is an arithmetic number, because the mean of its divisors is an integer number (7329516).

Almost surely, 2^471266640 is an apocalyptic number.

471266640 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 471266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879541920).

471266640 is an abundant number, since it is smaller than the sum of its proper divisors (1287817200).

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

471266640 is a wasteful number, since it uses less digits than its factorization.

471266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 471266640 is about 21708.6766063710. The cubic root of 471266640 is about 778.1958301034.

It can be divided in two parts, 471266 and 640, that added together give a triangular number (471906 = T₉₇₁).

The spelling of 471266640 in words is "four hundred seventy-one million, two hundred sixty-six thousand, six hundred forty".