473446512 has 320 divisors, whose sum is σ = 1738936320. Its totient is φ = 119750400.

The previous prime is 473446511. The next prime is 473446529. The reversal of 473446512 is 215644374.

It is a super-2 number, since 2×473446512² = 448303199449932288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473446511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1430187 + ... + 1430517.

It is an arithmetic number, because the mean of its divisors is an integer number (5434176).

Almost surely, 2^473446512 is an apocalyptic number.

473446512 is a gapful number since it is divisible by the number (42) 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 473446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869468160).

473446512 is an abundant number, since it is smaller than the sum of its proper divisors (1265489808).

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

473446512 is a wasteful number, since it uses less digits than its factorization.

473446512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 473446512 is about 21758.8260712751. The cubic root of 473446512 is about 779.3938485980.

It can be divided in two parts, 473 and 446512, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 473446512 in words is "four hundred seventy-three million, four hundred forty-six thousand, five hundred twelve".