462426898752 has 1344 divisors, whose sum is σ = 1773441492480. Its totient is φ = 117050572800.

The previous prime is 462426898711. The next prime is 462426898781. The reversal of 462426898752 is 257898624264.

462426898752 is a `hidden beast` number, since 4 + 6 + 2 + 426 + 89 + 87 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 462426898752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4767287568 + ... + 4767287664.

It is an arithmetic number, because the mean of its divisors is an integer number (1319524920).

Almost surely, 2^462426898752 is an apocalyptic number.

462426898752 is a gapful number since it is divisible by the number (42) 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 462426898752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886720746240).

462426898752 is an abundant number, since it is smaller than the sum of its proper divisors (1311014593728).

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

462426898752 is a wasteful number, since it uses less digits than its factorization.

462426898752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 462426898752 in words is "four hundred sixty-two billion, four hundred twenty-six million, eight hundred ninety-eight thousand, seven hundred fifty-two".