462497616 has 120 divisors (see below), whose sum is σ = 1543651200. Its totient is φ = 126390528.

The previous prime is 462497603. The next prime is 462497627. The reversal of 462497616 is 616794264.

462497616 is a `hidden beast` number, since 4 + 6 + 24 + 9 + 7 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13210 + ... + 33158.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2^462497616 is an apocalyptic number.

462497616 is a gapful number since it is divisible by the number (46) 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 462497616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

462497616 is an abundant number, since it is smaller than the sum of its proper divisors (1081153584).

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

462497616 is a wasteful number, since it uses less digits than its factorization.

462497616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19993 (or 19984 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 462497616 is about 21505.7577406610. The cubic root of 462497616 is about 773.3388581320.

The spelling of 462497616 in words is "four hundred sixty-two million, four hundred ninety-seven thousand, six hundred sixteen".