462255448320 has 576 divisors, whose sum is σ = 1749839293440. Its totient is φ = 115150159872.

The previous prime is 462255448271. The next prime is 462255448321. The reversal of 462255448320 is 23844552264.

It is a happy number.

462255448320 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 5 + 544 + 83 + 20 = 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 (462255448321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80487369 + ... + 80493111.

It is an arithmetic number, because the mean of its divisors is an integer number (3037915440).

Almost surely, 2^462255448320 is an apocalyptic number.

462255448320 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 462255448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874919646720).

462255448320 is an abundant number, since it is smaller than the sum of its proper divisors (1287583845120).

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

462255448320 is a wasteful number, since it uses less digits than its factorization.

462255448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

It can be divided in two parts, 462255 and 448320, that added together give a triangular number (910575 = T₁₃₄₉).

The spelling of 462255448320 in words is "four hundred sixty-two billion, two hundred fifty-five million, four hundred forty-eight thousand, three hundred twenty".