471040416 has 216 divisors, whose sum is σ = 1683575712. Its totient is φ = 122284800.

The previous prime is 471040399. The next prime is 471040433. The reversal of 471040416 is 614040174.

It is an interprime number because it is at equal distance from previous prime (471040399) and next prime (471040433).

It is a self number, because there is not a number n which added to its sum of digits gives 471040416.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242971 + ... + 244901.

It is an arithmetic number, because the mean of its divisors is an integer number (7794332).

Almost surely, 2^471040416 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 471040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841787856).

471040416 is an abundant number, since it is smaller than the sum of its proper divisors (1212535296).

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

471040416 is a wasteful number, since it uses less digits than its factorization.

471040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 471040416 is about 21703.4655297259. The cubic root of 471040416 is about 778.0712900267.

The spelling of 471040416 in words is "four hundred seventy-one million, forty thousand, four hundred sixteen".