463212120 has 64 divisors (see below), whose sum is σ = 1588158720. Its totient is φ = 105876864.

The previous prime is 463212109. The next prime is 463212121. The reversal of 463212120 is 21212364.

It is a super-2 number, since 2×463212120² = 429130936229788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274882 + ... + 276561.

It is an arithmetic number, because the mean of its divisors is an integer number (24814980).

Almost surely, 2^463212120 is an apocalyptic number.

463212120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463212120 is an abundant number, since it is smaller than the sum of its proper divisors (1124946600).

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

463212120 is a wasteful number, since it uses less digits than its factorization.

463212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551464 (or 551460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 463212120 is about 21522.3632531374. The cubic root of 463212120 is about 773.7368921896.

Adding to 463212120 its reverse (21212364), we get a palindrome (484424484).

The spelling of 463212120 in words is "four hundred sixty-three million, two hundred twelve thousand, one hundred twenty".