462869145600 has 576 divisors, whose sum is σ = 1636871483520. Its totient is φ = 114976358400.

The previous prime is 462869145589. The next prime is 462869145643. The reversal of 462869145600 is 6541968264.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268952740 + ... + 268954460.

It is an arithmetic number, because the mean of its divisors is an integer number (2841790770).

Almost surely, 2^462869145600 is an apocalyptic number.

462869145600 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 462869145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818435741760).

462869145600 is an abundant number, since it is smaller than the sum of its proper divisors (1174002337920).

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

462869145600 is a wasteful number, since it uses less digits than its factorization.

462869145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 462869145600 in words is "four hundred sixty-two billion, eight hundred sixty-nine million, one hundred forty-five thousand, six hundred".