471446040 has 256 divisors, whose sum is σ = 1671062400. Its totient is φ = 105283584.

The previous prime is 471446039. The next prime is 471446071. The reversal of 471446040 is 40644174.

It is a super-2 number, since 2×471446040² = 444522737263363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 471445989 and 471446007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768774 + ... + 769386.

Almost surely, 2^471446040 is an apocalyptic number.

471446040 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 471446040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835531200).

471446040 is an abundant number, since it is smaller than the sum of its proper divisors (1199616360).

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

471446040 is a wasteful number, since it uses less digits than its factorization.

471446040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 471446040 is about 21712.8082016122. The cubic root of 471446040 is about 778.2945644565.

The spelling of 471446040 in words is "four hundred seventy-one million, four hundred forty-six thousand, forty".