473849600 has 162 divisors, whose sum is σ = 1365240744. Its totient is φ = 162355200.

The previous prime is 473849599. The next prime is 473849603. The reversal of 473849600 is 6948374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473849603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 312845 + ... + 314355.

It is an arithmetic number, because the mean of its divisors is an integer number (8427412).

Almost surely, 2^473849600 is an apocalyptic number.

473849600 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 473849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682620372).

473849600 is an abundant number, since it is smaller than the sum of its proper divisors (891391144).

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

473849600 is a wasteful number, since it uses less digits than its factorization.

473849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 473849600 is about 21768.0867326460. The cubic root of 473849600 is about 779.6149754363.

The spelling of 473849600 in words is "four hundred seventy-three million, eight hundred forty-nine thousand, six hundred".