474821253244800 has 2880 divisors, whose sum is σ = 2272140193720320. Its totient is φ = 95480073216000.

The previous prime is 474821253244787. The next prime is 474821253244801. The reversal of 474821253244800 is 8442352128474.

474821253244800 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 2 + 125 + 32 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474821253244801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6805779517 + ... + 6805849283.

It is an arithmetic number, because the mean of its divisors is an integer number (788937567264).

Almost surely, 2^{474821253244800} is an apocalyptic number.

474821253244800 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 474821253244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136070096860160).

474821253244800 is an abundant number, since it is smaller than the sum of its proper divisors (1797318940475520).

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

474821253244800 is a wasteful number, since it uses less digits than its factorization.

474821253244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69863 (or 69826 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 474821253244800 in words is "four hundred seventy-four trillion, eight hundred twenty-one billion, two hundred fifty-three million, two hundred forty-four thousand, eight hundred".