478991903100 has 144 divisors (see below), whose sum is σ = 1467721559808. Its totient is φ = 120191708160.

The previous prime is 478991903099. The next prime is 478991903149. The reversal of 478991903100 is 1309199874.

It is a happy number.

It is a super-2 number, since 2×478991903100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 36932817 + ... + 36945783.

It is an arithmetic number, because the mean of its divisors is an integer number (10192510832).

Almost surely, 2^478991903100 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 478991903100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733860779904).

478991903100 is an abundant number, since it is smaller than the sum of its proper divisors (988729656708).

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

478991903100 is a wasteful number, since it uses less digits than its factorization.

478991903100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20244 (or 20237 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 478991903100 in words is "four hundred seventy-eight billion, nine hundred ninety-one million, nine hundred three thousand, one hundred".