473253546240 has 576 divisors, whose sum is σ = 1706236358400. Its totient is φ = 124201598976.

The previous prime is 473253546203. The next prime is 473253546247. The reversal of 473253546240 is 42645352374.

473253546240 is a `hidden beast` number, since 4 + 7 + 32 + 53 + 546 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (473253546247) 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, 699044782 + ... + 699045458.

It is an arithmetic number, because the mean of its divisors is an integer number (2962215900).

Almost surely, 2^473253546240 is an apocalyptic number.

473253546240 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 473253546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853118179200).

473253546240 is an abundant number, since it is smaller than the sum of its proper divisors (1232982812160).

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

473253546240 is a wasteful number, since it uses less digits than its factorization.

473253546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 473253546240 in words is "four hundred seventy-three billion, two hundred fifty-three million, five hundred forty-six thousand, two hundred forty".