470381781600 has 432 divisors, whose sum is σ = 1700733146112. Its totient is φ = 122267335680.

The previous prime is 470381781599. The next prime is 470381781647. The reversal of 470381781600 is 6187183074.

470381781600 is a `hidden beast` number, since 4 + 7 + 0 + 38 + 1 + 7 + 8 + 1 + 600 = 666.

It is a super-2 number, since 2×470381781600² (a number of 24 digits) contains 22 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 71 ways as a sum of consecutive naturals, for example, 187925949 + ... + 187928451.

Almost surely, 2^470381781600 is an apocalyptic number.

470381781600 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 470381781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850366573056).

470381781600 is an abundant number, since it is smaller than the sum of its proper divisors (1230351364512).

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

470381781600 is a wasteful number, since it uses less digits than its factorization.

470381781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 470381781600 in words is "four hundred seventy billion, three hundred eighty-one million, seven hundred eighty-one thousand, six hundred".