462116046 has 64 divisors (see below), whose sum is σ = 1107532800. Its totient is φ = 125680896.

The previous prime is 462116033. The next prime is 462116047. The reversal of 462116046 is 640611264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462116047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220170 + ... + 222258.

It is an arithmetic number, because the mean of its divisors is an integer number (17305200).

Almost surely, 2^462116046 is an apocalyptic number.

462116046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 462116046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553766400).

462116046 is an abundant number, since it is smaller than the sum of its proper divisors (645416754).

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

462116046 is a wasteful number, since it uses less digits than its factorization.

462116046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 462116046 is about 21496.8845649782. The cubic root of 462116046 is about 773.1261261561.

The spelling of 462116046 in words is "four hundred sixty-two million, one hundred sixteen thousand, forty-six".