472656250000 has 195 divisors, whose sum is σ = 1258239745063. Its totient is φ = 171875000000.

The previous prime is 472656249943. The next prime is 472656250007. The reversal of 472656250000 is 52656274.

The square root of 472656250000 is 687500.

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

It can be written as a sum of positive squares in 6 ways, for example, as 267425505424 + 205230744576 = 517132^2 + 453024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472656250007) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 42968749995 + ... + 42968750005.

Almost surely, 2^472656250000 is an apocalyptic number.

472656250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472656250000 is the 687500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472656250000

472656250000 is an abundant number, since it is smaller than the sum of its proper divisors (785583495063).

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

472656250000 is an frugal number, since it uses more digits than its factorization.

472656250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 472656250000 in words is "four hundred seventy-two billion, six hundred fifty-six million, two hundred fifty thousand".