471835440 has 120 divisors (see below), whose sum is σ = 1608395568. Its totient is φ = 123932160.

The previous prime is 471835411. The next prime is 471835471. The reversal of 471835440 is 44538174.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 471835395 and 471835404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43350 + ... + 53130.

Almost surely, 2^471835440 is an apocalyptic number.

471835440 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 471835440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804197784).

471835440 is an abundant number, since it is smaller than the sum of its proper divisors (1136560128).

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

471835440 is a wasteful number, since it uses less digits than its factorization.

471835440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 471835440 is about 21721.7734082648. The cubic root of 471835440 is about 778.5087879832.

The spelling of 471835440 in words is "four hundred seventy-one million, eight hundred thirty-five thousand, four hundred forty".