462400512 has 88 divisors (see below), whose sum is σ = 1408598016. Its totient is φ = 132108288.

The previous prime is 462400489. The next prime is 462400529. The reversal of 462400512 is 215004264.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 10753 + ... + 32255.

Almost surely, 2^462400512 is an apocalyptic number.

462400512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 21503×21504.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704299008).

462400512 is an abundant number, since it is smaller than the sum of its proper divisors (946197504).

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

462400512 is a wasteful number, since it uses less digits than its factorization.

462400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21533 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 462400512 is about 21503.4999941870. The cubic root of 462400512 is about 773.2847320494.

Adding to 462400512 its reverse (215004264), we get a palindrome (677404776).

The spelling of 462400512 in words is "four hundred sixty-two million, four hundred thousand, five hundred twelve".