462940047360 has 384 divisors, whose sum is σ = 1880701804800. Its totient is φ = 105814425600.

The previous prime is 462940047337. The next prime is 462940047391. The reversal of 462940047360 is 63740049264.

It is a happy number.

462940047360 is a `hidden beast` number, since 462 + 94 + 0 + 0 + 47 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815760 + ... + 2054960.

It is an arithmetic number, because the mean of its divisors is an integer number (4897660950).

Almost surely, 2^462940047360 is an apocalyptic number.

462940047360 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 462940047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940350902400).

462940047360 is an abundant number, since it is smaller than the sum of its proper divisors (1417761757440).

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

462940047360 is a wasteful number, since it uses less digits than its factorization.

462940047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239244 (or 239218 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 462940047360 in words is "four hundred sixty-two billion, nine hundred forty million, forty-seven thousand, three hundred sixty".