462861241920 has 1680 divisors, whose sum is σ = 2142567947520. Its totient is φ = 92734709760.

The previous prime is 462861241897. The next prime is 462861241937. The reversal of 462861241920 is 29142168264.

It is a happy number.

462861241920 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 612 + 4 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 636672597 + ... + 636673323.

It is an arithmetic number, because the mean of its divisors is an integer number (1275338064).

Almost surely, 2^462861241920 is an apocalyptic number.

462861241920 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 462861241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071283973760).

462861241920 is an abundant number, since it is smaller than the sum of its proper divisors (1679706705600).

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

462861241920 is a wasteful number, since it uses less digits than its factorization.

462861241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 462861241920 in words is "four hundred sixty-two billion, eight hundred sixty-one million, two hundred forty-one thousand, nine hundred twenty".