46486272 has 72 divisors (see below), whose sum is σ = 141412096. Its totient is φ = 13280256.

The previous prime is 46486261. The next prime is 46486283. The reversal of 46486272 is 27268464.

It is an interprime number because it is at equal distance from previous prime (46486261) and next prime (46486283).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46486272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1053 + ... + 9699.

Almost surely, 2^46486272 is an apocalyptic number.

46486272 is a gapful number since it is divisible by the number (42) 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 46486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70706048).

46486272 is an abundant number, since it is smaller than the sum of its proper divisors (94925824).

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

46486272 is an equidigital number, since it uses as much as digits as its factorization.

46486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8659 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 46486272 is about 6818.0841883919. The cubic root of 46486272 is about 359.5629263566.

It can be divided in two parts, 464 and 86272, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 46486272 in words is "forty-six million, four hundred eighty-six thousand, two hundred seventy-two".