471870360 has 320 divisors, whose sum is σ = 1811224800. Its totient is φ = 109154304.

The previous prime is 471870341. The next prime is 471870383. The reversal of 471870360 is 63078174.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 715711 + ... + 716369.

Almost surely, 2^471870360 is an apocalyptic number.

471870360 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 471870360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905612400).

471870360 is an abundant number, since it is smaller than the sum of its proper divisors (1339354440).

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

471870360 is a wasteful number, since it uses less digits than its factorization.

471870360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 471870360 is about 21722.5771951672. The cubic root of 471870360 is about 778.5279930237.

It can be divided in two parts, 4718 and 70360, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 471870360 in words is "four hundred seventy-one million, eight hundred seventy thousand, three hundred sixty".