473943624 has 128 divisors (see below), whose sum is σ = 1525063680. Its totient is φ = 119116800.

The previous prime is 473943599. The next prime is 473943653. The reversal of 473943624 is 426349374.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53152 + ... + 61424.

It is an arithmetic number, because the mean of its divisors is an integer number (11914560).

Almost surely, 2^473943624 is an apocalyptic number.

473943624 is a gapful number since it is divisible by the number (44) 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 473943624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762531840).

473943624 is an abundant number, since it is smaller than the sum of its proper divisors (1051120056).

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

473943624 is a wasteful number, since it uses less digits than its factorization.

473943624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8327 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 473943624 is about 21770.2463008575. The cubic root of 473943624 is about 779.6665372755. Note that the first 3 decimals are identical.

The spelling of 473943624 in words is "four hundred seventy-three million, nine hundred forty-three thousand, six hundred twenty-four".