479464420500 has 768 divisors, whose sum is σ = 1792438502400. Its totient is φ = 109660262400.

The previous prime is 479464420483. The next prime is 479464420507. The reversal of 479464420500 is 5024464974.

479464420500 is a `hidden beast` number, since 47 + 9 + 4 + 64 + 42 + 0 + 500 = 666.

It is a super-2 number, since 2×479464420500² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479464420507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176727144 + ... + 176729856.

It is an arithmetic number, because the mean of its divisors is an integer number (2333904300).

Almost surely, 2^479464420500 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 479464420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896219251200).

479464420500 is an abundant number, since it is smaller than the sum of its proper divisors (1312974081900).

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

479464420500 is a wasteful number, since it uses less digits than its factorization.

479464420500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 479464420500 in words is "four hundred seventy-nine billion, four hundred sixty-four million, four hundred twenty thousand, five hundred".