462068480 has 72 divisors (see below), whose sum is σ = 1110603312. Its totient is φ = 184193024.

The previous prime is 462068447. The next prime is 462068489. The reversal of 462068480 is 84860264.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (462068489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597374 + ... + 598146.

It is an arithmetic number, because the mean of its divisors is an integer number (15425046).

Almost surely, 2^462068480 is an apocalyptic number.

462068480 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 462068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555301656).

462068480 is an abundant number, since it is smaller than the sum of its proper divisors (648534832).

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

462068480 is an equidigital number, since it uses as much as digits as its factorization.

462068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 462068480 is about 21495.7781901470. The cubic root of 462068480 is about 773.0995990680.

The spelling of 462068480 in words is "four hundred sixty-two million, sixty-eight thousand, four hundred eighty".