466386420192 has 576 divisors, whose sum is σ = 1609724067840. Its totient is φ = 116794137600.

The previous prime is 466386420187. The next prime is 466386420197. The reversal of 466386420192 is 291024683664.

It is an interprime number because it is at equal distance from previous prime (466386420187) and next prime (466386420197).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466386420197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768346353 + ... + 768346959.

It is an arithmetic number, because the mean of its divisors is an integer number (2794659840).

Almost surely, 2^466386420192 is an apocalyptic number.

466386420192 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 466386420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804862033920).

466386420192 is an abundant number, since it is smaller than the sum of its proper divisors (1143337647648).

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

466386420192 is a wasteful number, since it uses less digits than its factorization.

466386420192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 466386420192 in words is "four hundred sixty-six billion, three hundred eighty-six million, four hundred twenty thousand, one hundred ninety-two".