479949595008 has 384 divisors, whose sum is σ = 1467918132480. Its totient is φ = 138568015872.

The previous prime is 479949594977. The next prime is 479949595033. The reversal of 479949595008 is 800595949974.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×479949595008² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79105191 + ... + 79111257.

It is an arithmetic number, because the mean of its divisors is an integer number (3822703470).

Almost surely, 2^479949595008 is an apocalyptic number.

479949595008 is a gapful number since it is divisible by the number (48) 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 479949595008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733959066240).

479949595008 is an abundant number, since it is smaller than the sum of its proper divisors (987968537472).

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

479949595008 is a wasteful number, since it uses less digits than its factorization.

479949595008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 479949595008 in words is "four hundred seventy-nine billion, nine hundred forty-nine million, five hundred ninety-five thousand, eight".