479462926320 has 480 divisors, whose sum is σ = 1927794738240. Its totient is φ = 109210429440.

The previous prime is 479462926249. The next prime is 479462926337. The reversal of 479462926320 is 23629264974.

479462926320 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 629 + 2 + 6 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31003390 + ... + 31018850.

It is an arithmetic number, because the mean of its divisors is an integer number (4016239038).

Almost surely, 2^479462926320 is an apocalyptic number.

479462926320 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 479462926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963897369120).

479462926320 is an abundant number, since it is smaller than the sum of its proper divisors (1448331811920).

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

479462926320 is a wasteful number, since it uses less digits than its factorization.

479462926320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15790 (or 15771 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 479462926320 in words is "four hundred seventy-nine billion, four hundred sixty-two million, nine hundred twenty-six thousand, three hundred twenty".