470541312000 has 1344 divisors, whose sum is σ = 1845699867648. Its totient is φ = 119439360000.

The previous prime is 470541311993. The next prime is 470541312037. The reversal of 470541312000 is 213145074.

470541312000 is a `hidden beast` number, since 4 + 70 + 541 + 31 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7713791970 + ... + 7713792030.

It is an arithmetic number, because the mean of its divisors is an integer number (1373288592).

Almost surely, 2^470541312000 is an apocalyptic number.

470541312000 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 470541312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922849933824).

470541312000 is an abundant number, since it is smaller than the sum of its proper divisors (1375158555648).

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

470541312000 is an frugal number, since it uses more digits than its factorization.

470541312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 470541312000 its reverse (213145074), we get a palindrome (470754457074).

The spelling of 470541312000 in words is "four hundred seventy billion, five hundred forty-one million, three hundred twelve thousand".