462000000000 has 880 divisors, whose sum is σ = 1919062303488. Its totient is φ = 96000000000.

The previous prime is 461999999971. The next prime is 462000000023. The reversal of 462000000000 is 264.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-3 number, since 3×462000000000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41999999995 + ... + 42000000005.

Almost surely, 2^462000000000 is an apocalyptic number.

462000000000 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 462000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959531151744).

462000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1457062303488).

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

462000000000 is an frugal number, since it uses more digits than its factorization.

462000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 462000000000 its reverse (264), we get a palindrome (462000000264).

The spelling of 462000000000 in words is "four hundred sixty-two billion", and thus it is an aban number.