46461312 has 96 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 14976000.

The previous prime is 46461301. The next prime is 46461319. The reversal of 46461312 is 21316464.

46461312 is a `hidden beast` number, since 4 + 646 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46461312² = 4317307025522688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46461319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35062 + ... + 36362.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^46461312 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 46461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

46461312 is an abundant number, since it is smaller than the sum of its proper divisors (91654848).

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

46461312 is a wasteful number, since it uses less digits than its factorization.

46461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 46461312 is about 6816.2535164121. The cubic root of 46461312 is about 359.4985611365.

Subtracting from 46461312 its product of digits (3456), we obtain a square (46457856 = 6816²).

Adding to 46461312 its reverse (21316464), we get a palindrome (67777776).

It can be divided in two parts, 464 and 61312, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 46461312 in words is "forty-six million, four hundred sixty-one thousand, three hundred twelve".