478574156390400 has 4032 divisors, whose sum is σ = 2112190533153792. Its totient is φ = 105133391216640.

The previous prime is 478574156390399. The next prime is 478574156390411. The reversal of 478574156390400 is 4093651475874.

478574156390400 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 74 + 15 + 63 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×478574156390400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1379176243027 + ... + 1379176243373.

It is an arithmetic number, because the mean of its divisors is an integer number (523856779056).

Almost surely, 2^{478574156390400} is an apocalyptic number.

478574156390400 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 478574156390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056095266576896).

478574156390400 is an abundant number, since it is smaller than the sum of its proper divisors (1633616376763392).

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

478574156390400 is a wasteful number, since it uses less digits than its factorization.

478574156390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 478574156390400 in words is "four hundred seventy-eight trillion, five hundred seventy-four billion, one hundred fifty-six million, three hundred ninety thousand, four hundred".