471434440 has 64 divisors (see below), whose sum is σ = 1120780800. Its totient is φ = 178176768.

The previous prime is 471434437. The next prime is 471434443. The reversal of 471434440 is 44434174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (471434437) and next prime (471434443).

It is a super-2 number, since 2×471434440² = 444500862436227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (471434443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50197 + ... + 58843.

It is an arithmetic number, because the mean of its divisors is an integer number (17512200).

Almost surely, 2^471434440 is an apocalyptic number.

471434440 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 471434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560390400).

471434440 is an abundant number, since it is smaller than the sum of its proper divisors (649346360).

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

471434440 is a wasteful number, since it uses less digits than its factorization.

471434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 471434440 is about 21712.5410765299. The cubic root of 471434440 is about 778.2881810529.

The spelling of 471434440 in words is "four hundred seventy-one million, four hundred thirty-four thousand, four hundred forty".