462660440 has 96 divisors (see below), whose sum is σ = 1211747040. Its totient is φ = 158315520.

The previous prime is 462660439. The next prime is 462660463. The reversal of 462660440 is 44066264.

It is a junction number, because it is equal to n+sod(n) for n = 462660397 and 462660406.

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, 79469 + ... + 85091.

It is an arithmetic number, because the mean of its divisors is an integer number (12622365).

Almost surely, 2^462660440 is an apocalyptic number.

462660440 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 462660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605873520).

462660440 is an abundant number, since it is smaller than the sum of its proper divisors (749086600).

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

462660440 is a wasteful number, since it uses less digits than its factorization.

462660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 462660440 is about 21509.5429983996. The cubic root of 462660440 is about 773.4295997547.

The spelling of 462660440 in words is "four hundred sixty-two million, six hundred sixty thousand, four hundred forty".