479016439200 has 2160 divisors, whose sum is σ = 2092379579136. Its totient is φ = 106101964800.

The previous prime is 479016439199. The next prime is 479016439211. The reversal of 479016439200 is 2934610974.

It is a happy number.

479016439200 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 1 + 6 + 439 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5771282359 + ... + 5771282441.

Almost surely, 2^479016439200 is an apocalyptic number.

479016439200 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 479016439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046189789568).

479016439200 is an abundant number, since it is smaller than the sum of its proper divisors (1613363139936).

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

479016439200 is a wasteful number, since it uses less digits than its factorization.

479016439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 479016439200 in words is "four hundred seventy-nine billion, sixteen million, four hundred thirty-nine thousand, two hundred".