470761941504 has 320 divisors, whose sum is σ = 1365518601216. Its totient is φ = 143542124544.

The previous prime is 470761941479. The next prime is 470761941527. The reversal of 470761941504 is 405149167074.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254878309 + ... + 254880155.

Almost surely, 2^470761941504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470761941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682759300608).

470761941504 is an abundant number, since it is smaller than the sum of its proper divisors (894756659712).

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

470761941504 is a wasteful number, since it uses less digits than its factorization.

470761941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 470761941504 in words is "four hundred seventy billion, seven hundred sixty-one million, nine hundred forty-one thousand, five hundred four".