462012480 has 168 divisors, whose sum is σ = 1616659200. Its totient is φ = 121070592.

The previous prime is 462012479. The next prime is 462012527. The reversal of 462012480 is 84210264.

462012480 is a `hidden beast` number, since 462 + 0 + 124 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168561 + ... + 171279.

Almost surely, 2^462012480 is an apocalyptic number.

462012480 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 462012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808329600).

462012480 is an abundant number, since it is smaller than the sum of its proper divisors (1154646720).

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

462012480 is a wasteful number, since it uses less digits than its factorization.

462012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 462012480 is about 21494.4755693178. The cubic root of 462012480 is about 773.0683660881.

The spelling of 462012480 in words is "four hundred sixty-two million, twelve thousand, four hundred eighty".