462838387147920 has 400 divisors, whose sum is σ = 1837190490854400. Its totient is φ = 105789302166528.

The previous prime is 462838387147859. The next prime is 462838387147921. The reversal of 462838387147920 is 29741783838264.

462838387147920 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 3 + 83 + 8 + 71 + 479 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (462838387147921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2866625914 + ... + 2866787366.

It is an arithmetic number, because the mean of its divisors is an integer number (4592976227136).

Almost surely, 2^{462838387147920} is an apocalyptic number.

462838387147920 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 462838387147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918595245427200).

462838387147920 is an abundant number, since it is smaller than the sum of its proper divisors (1374352103706480).

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

462838387147920 is a wasteful number, since it uses less digits than its factorization.

462838387147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224684 (or 224669 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 462838387147920 in words is "four hundred sixty-two trillion, eight hundred thirty-eight billion, three hundred eighty-seven million, one hundred forty-seven thousand, nine hundred twenty".