474084388800 has 1512 divisors, whose sum is σ = 1955209191936. Its totient is φ = 108725760000.

The previous prime is 474084388787. The next prime is 474084388807. The reversal of 474084388800 is 8883480474.

It is a happy number.

474084388800 is a `hidden beast` number, since 47 + 408 + 43 + 88 + 80 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474084388807) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 3618964735 + ... + 3618964865.

Almost surely, 2^474084388800 is an apocalyptic number.

474084388800 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 474084388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977604595968).

474084388800 is an abundant number, since it is smaller than the sum of its proper divisors (1481124803136).

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

474084388800 is a wasteful number, since it uses less digits than its factorization.

474084388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 474084388800 in words is "four hundred seventy-four billion, eighty-four million, three hundred eighty-eight thousand, eight hundred".