478894602240 has 576 divisors, whose sum is σ = 1822645450080. Its totient is φ = 120182538240.

The previous prime is 478894602233. The next prime is 478894602253. The reversal of 478894602240 is 42206498874.

478894602240 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 9 + 4 + 602 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 42295780 + ... + 42307100.

Almost surely, 2^478894602240 is an apocalyptic number.

478894602240 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 478894602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911322725040).

478894602240 is an abundant number, since it is smaller than the sum of its proper divisors (1343750847840).

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

478894602240 is a wasteful number, since it uses less digits than its factorization.

478894602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11380 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 478894602240 in words is "four hundred seventy-eight billion, eight hundred ninety-four million, six hundred two thousand, two hundred forty".