462935340 has 216 divisors, whose sum is σ = 1658180160. Its totient is φ = 104219136.

The previous prime is 462935321. The next prime is 462935357. The reversal of 462935340 is 43539264.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 462935295 and 462935304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643501 + ... + 644219.

It is an arithmetic number, because the mean of its divisors is an integer number (7676760).

Almost surely, 2^462935340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462935340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829090080).

462935340 is an abundant number, since it is smaller than the sum of its proper divisors (1195244820).

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

462935340 is a wasteful number, since it uses less digits than its factorization.

462935340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 462935340 is about 21515.9322363685. The cubic root of 462935340 is about 773.5827528971.

The spelling of 462935340 in words is "four hundred sixty-two million, nine hundred thirty-five thousand, three hundred forty".