471962496 has 128 divisors (see below), whose sum is σ = 1300083840. Its totient is φ = 151603200.

The previous prime is 471962473. The next prime is 471962497. The reversal of 471962496 is 694269174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (653184) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471962497) 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, 1667571 + ... + 1667853.

It is an arithmetic number, because the mean of its divisors is an integer number (10156905).

Almost surely, 2^471962496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471962496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650041920).

471962496 is an abundant number, since it is smaller than the sum of its proper divisors (828121344).

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

471962496 is a wasteful number, since it uses less digits than its factorization.

471962496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 471962496 is about 21724.6978344924. The cubic root of 471962496 is about 778.5786607446.

The spelling of 471962496 in words is "four hundred seventy-one million, nine hundred sixty-two thousand, four hundred ninety-six".