471613440 has 240 divisors, whose sum is σ = 1604272320. Its totient is φ = 117964800.

The previous prime is 471613409. The next prime is 471613477. The reversal of 471613440 is 44316174.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 471613398 and 471613407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669390 + ... + 4669490.

It is an arithmetic number, because the mean of its divisors is an integer number (6684468).

Almost surely, 2^471613440 is an apocalyptic number.

471613440 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 471613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802136160).

471613440 is an abundant number, since it is smaller than the sum of its proper divisors (1132658880).

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

471613440 is a wasteful number, since it uses less digits than its factorization.

471613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 471613440 is about 21716.6627270398. The cubic root of 471613440 is about 778.3866719170.

It can be divided in two parts, 4716134 and 40, that added together give a palindrome (4716174).

The spelling of 471613440 in words is "four hundred seventy-one million, six hundred thirteen thousand, four hundred forty".