471620736 has 192 divisors, whose sum is σ = 1479816000. Its totient is φ = 143603712.

The previous prime is 471620729. The next prime is 471620741. The reversal of 471620736 is 637026174.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×471620736² = 444852237250363392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 471620736.

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 23 ways as a sum of consecutive naturals, for example, 634381 + ... + 635123.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^471620736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739908000).

471620736 is an abundant number, since it is smaller than the sum of its proper divisors (1008195264).

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

471620736 is a wasteful number, since it uses less digits than its factorization.

471620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

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

The square root of 471620736 is about 21716.8307080016. The cubic root of 471620736 is about 778.3906858539.

It can be divided in two parts, 4716 and 20736, that added together give a palindrome (25452).

The spelling of 471620736 in words is "four hundred seventy-one million, six hundred twenty thousand, seven hundred thirty-six".