473923840 has 144 divisors (see below), whose sum is σ = 1287720000. Its totient is φ = 165666816.

The previous prime is 473923831. The next prime is 473923847. The reversal of 473923840 is 48329374.

It is a super-2 number, since 2×473923840² = 449207612240691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 473923793 and 473923802.

It is not an unprimeable number, because it can be changed into a prime (473923847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315411 + ... + 316909.

It is an arithmetic number, because the mean of its divisors is an integer number (8942500).

Almost surely, 2^473923840 is an apocalyptic number.

473923840 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 473923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643860000).

473923840 is an abundant number, since it is smaller than the sum of its proper divisors (813796160).

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

473923840 is a wasteful number, since it uses less digits than its factorization.

473923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 473923840 is about 21769.7919144855. The cubic root of 473923840 is about 779.6556884905.

The spelling of 473923840 in words is "four hundred seventy-three million, nine hundred twenty-three thousand, eight hundred forty".