478454169600 has 2160 divisors, whose sum is σ = 2129718689280. Its totient is φ = 105106636800.

The previous prime is 478454169593. The next prime is 478454169617. The reversal of 478454169600 is 6961454874.

478454169600 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 541 + 6 + 96 + 0 + 0 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20802355189 + ... + 20802355211.

Almost surely, 2^478454169600 is an apocalyptic number.

478454169600 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 478454169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064859344640).

478454169600 is an abundant number, since it is smaller than the sum of its proper divisors (1651264519680).

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

478454169600 is a wasteful number, since it uses less digits than its factorization.

478454169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 478454169600 in words is "four hundred seventy-eight billion, four hundred fifty-four million, one hundred sixty-nine thousand, six hundred".