473731440 has 320 divisors, whose sum is σ = 1833216000. Its totient is φ = 98537472.

The previous prime is 473731439. The next prime is 473731451. The reversal of 473731440 is 44137374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380461 + ... + 2380659.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^473731440 is an apocalyptic number.

473731440 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 473731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608000).

473731440 is an abundant number, since it is smaller than the sum of its proper divisors (1359484560).

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

473731440 is a wasteful number, since it uses less digits than its factorization.

473731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 473731440 is about 21765.3724985354. The cubic root of 473731440 is about 779.5501679787.

The spelling of 473731440 in words is "four hundred seventy-three million, seven hundred thirty-one thousand, four hundred forty".