470505369600 has 1872 divisors, whose sum is σ = 2111972682240. Its totient is φ = 102187008000.

The previous prime is 470505369589. The next prime is 470505369613. The reversal of 470505369600 is 6963505074.

470505369600 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 0 + 5 + 36 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3115929525 + ... + 3115929675.

Almost surely, 2^470505369600 is an apocalyptic number.

470505369600 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 470505369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055986341120).

470505369600 is an abundant number, since it is smaller than the sum of its proper divisors (1641467312640).

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

470505369600 is a wasteful number, since it uses less digits than its factorization.

470505369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 470505369600 in words is "four hundred seventy billion, five hundred five million, three hundred sixty-nine thousand, six hundred".