472683456 has 168 divisors, whose sum is σ = 1575450240. Its totient is φ = 132696576.

The previous prime is 472683437. The next prime is 472683457. The reversal of 472683456 is 654386274.

472683456 is a `hidden beast` number, since 47 + 268 + 345 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×472683456² = 446859299152207872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472683457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236895 + ... + 238881.

It is an arithmetic number, because the mean of its divisors is an integer number (9377680).

Almost surely, 2^472683456 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 472683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787725120).

472683456 is an abundant number, since it is smaller than the sum of its proper divisors (1102766784).

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

472683456 is a wasteful number, since it uses less digits than its factorization.

472683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2058 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 472683456 is about 21741.2845986616. The cubic root of 472683456 is about 778.9749058531.

The spelling of 472683456 in words is "four hundred seventy-two million, six hundred eighty-three thousand, four hundred fifty-six".