470025421056 has 405 divisors, whose sum is σ = 1471216421311. Its totient is φ = 149863177728.

The previous prime is 470025421027. The next prime is 470025421097. The reversal of 470025421056 is 650124520074.

It is a happy number.

The square root of 470025421056 is 685584.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

470025421056 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 2 + 542 + 105 + 6 = 666.

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

It is a Duffinian number.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 470025421056.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20435887861 + ... + 20435887883.

Almost surely, 2^470025421056 is an apocalyptic number.

470025421056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

470025421056 is the 685584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470025421056

470025421056 is an abundant number, since it is smaller than the sum of its proper divisors (1001191000255).

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

470025421056 is an frugal number, since it uses more digits than its factorization.

470025421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 470025421056 by its sum of digits (36), we get a square (16920915158016 = 4113504²).

470025421056 divided by its sum of digits (36) gives a square (13056261696 = 114264²).

The spelling of 470025421056 in words is "four hundred seventy billion, twenty-five million, four hundred twenty-one thousand, fifty-six".