46661328 has 180 divisors, whose sum is σ = 161256420. Its totient is φ = 12515328.

The previous prime is 46661317. The next prime is 46661339. The reversal of 46661328 is 82316664.

It is an interprime number because it is at equal distance from previous prime (46661317) and next prime (46661339).

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 22924944 = 4872^2 + 4788^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 46661292 and 46661301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119758 + ... + 120146.

It is an arithmetic number, because the mean of its divisors is an integer number (895869).

Almost surely, 2^46661328 is an apocalyptic number.

46661328 is a gapful number since it is divisible by the number (48) 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 46661328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80628210).

46661328 is an abundant number, since it is smaller than the sum of its proper divisors (114595092).

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

46661328 is a wasteful number, since it uses less digits than its factorization.

46661328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 46661328 is about 6830.9097490744. The cubic root of 46661328 is about 360.0137031821.

The spelling of 46661328 in words is "forty-six million, six hundred sixty-one thousand, three hundred twenty-eight".