472671360 has 384 divisors, whose sum is σ = 1966723200. Its totient is φ = 102187008.

The previous prime is 472671347. The next prime is 472671391. The reversal of 472671360 is 63176274.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765772 + ... + 766388.

It is an arithmetic number, because the mean of its divisors is an integer number (5121675).

Almost surely, 2^472671360 is an apocalyptic number.

472671360 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 472671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983361600).

472671360 is an abundant number, since it is smaller than the sum of its proper divisors (1494051840).

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

472671360 is a wasteful number, since it uses less digits than its factorization.

472671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 472671360 is about 21741.0064164472. The cubic root of 472671360 is about 778.9682611238.

The spelling of 472671360 in words is "four hundred seventy-two million, six hundred seventy-one thousand, three hundred sixty".