470937045600 has 1440 divisors, whose sum is σ = 2051544692736. Its totient is φ = 102867148800.

The previous prime is 470937045599. The next prime is 470937045679. The reversal of 470937045600 is 6540739074.

470937045600 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 37 + 0 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×470937045600³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1504591044 + ... + 1504591356.

Almost surely, 2^470937045600 is an apocalyptic number.

470937045600 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 470937045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025772346368).

470937045600 is an abundant number, since it is smaller than the sum of its proper divisors (1580607647136).

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

470937045600 is a wasteful number, since it uses less digits than its factorization.

470937045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 470937045600 in words is "four hundred seventy billion, nine hundred thirty-seven million, forty-five thousand, six hundred".