473980774400 has 576 divisors, whose sum is σ = 1425098787840. Its totient is φ = 152882380800.

The previous prime is 473980774381. The next prime is 473980774513. The reversal of 473980774400 is 4477089374.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411084224 + ... + 411085376.

It is an arithmetic number, because the mean of its divisors is an integer number (2474129840).

Almost surely, 2^473980774400 is an apocalyptic number.

473980774400 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 473980774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712549393920).

473980774400 is an abundant number, since it is smaller than the sum of its proper divisors (951118013440).

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

473980774400 is a wasteful number, since it uses less digits than its factorization.

473980774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 473980774400 in words is "four hundred seventy-three billion, nine hundred eighty million, seven hundred seventy-four thousand, four hundred".