462878395200 has 1008 divisors, whose sum is σ = 1877892307200. Its totient is φ = 107196825600.

The previous prime is 462878395141. The next prime is 462878395223. The reversal of 462878395200 is 2593878264.

462878395200 is a `hidden beast` number, since 4 + 6 + 2 + 87 + 8 + 39 + 520 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 643780441 + ... + 643781159.

It is an arithmetic number, because the mean of its divisors is an integer number (1862988400).

Almost surely, 2^462878395200 is an apocalyptic number.

462878395200 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 462878395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938946153600).

462878395200 is an abundant number, since it is smaller than the sum of its proper divisors (1415013912000).

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

462878395200 is a wasteful number, since it uses less digits than its factorization.

462878395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 462878395200 in words is "four hundred sixty-two billion, eight hundred seventy-eight million, three hundred ninety-five thousand, two hundred".