462941416 has 96 divisors (see below), whose sum is σ = 1079516160. Its totient is φ = 184923648.

The previous prime is 462941393. The next prime is 462941417. The reversal of 462941416 is 614149264.

It is not an unprimeable number, because it can be changed into a prime (462941417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846055 + ... + 846601.

It is an arithmetic number, because the mean of its divisors is an integer number (11244960).

Almost surely, 2^462941416 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 462941416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539758080).

462941416 is an abundant number, since it is smaller than the sum of its proper divisors (616574744).

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

462941416 is a wasteful number, since it uses less digits than its factorization.

462941416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 462941416 is about 21516.0734335984. The cubic root of 462941416 is about 773.5861372921.

It can be divided in two parts, 462 and 941416, that added together give a triangular number (941878 = T₁₃₇₂).

The spelling of 462941416 in words is "four hundred sixty-two million, nine hundred forty-one thousand, four hundred sixteen".