470122477200 has 840 divisors, whose sum is σ = 1765836669696. Its totient is φ = 120092544000.

The previous prime is 470122477199. The next prime is 470122477241. The reversal of 470122477200 is 2774221074.

It is a happy number.

470122477200 is a `hidden beast` number, since 47 + 0 + 122 + 477 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1184187402 + ... + 1184187798.

Almost surely, 2^470122477200 is an apocalyptic number.

470122477200 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 470122477200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882918334848).

470122477200 is an abundant number, since it is smaller than the sum of its proper divisors (1295714192496).

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

470122477200 is a wasteful number, since it uses less digits than its factorization.

470122477200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

Adding to 470122477200 its reverse (2774221074), we get a palindrome (472896698274).

The spelling of 470122477200 in words is "four hundred seventy billion, one hundred twenty-two million, four hundred seventy-seven thousand, two hundred".