473149440 has 312 divisors, whose sum is σ = 1748024928. Its totient is φ = 117964800.

The previous prime is 473149433. The next prime is 473149441. The reversal of 473149440 is 44941374.

473149440 is a `hidden beast` number, since 4 + 73 + 149 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 473149395 and 473149404.

It is not an unprimeable number, because it can be changed into a prime (473149441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133365 + ... + 3133515.

It is an arithmetic number, because the mean of its divisors is an integer number (5602644).

Almost surely, 2^473149440 is an apocalyptic number.

473149440 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 473149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874012464).

473149440 is an abundant number, since it is smaller than the sum of its proper divisors (1274875488).

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

473149440 is a wasteful number, since it uses less digits than its factorization.

473149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 473149440 is about 21751.9985288709. The cubic root of 473149440 is about 779.2307998850.

The spelling of 473149440 in words is "four hundred seventy-three million, one hundred forty-nine thousand, four hundred forty".