46301472 has 216 divisors, whose sum is σ = 163017036. Its totient is φ = 12386304.

The previous prime is 46301471. The next prime is 46301473. The reversal of 46301472 is 27410364.

It is an interprime number because it is at equal distance from previous prime (46301471) and next prime (46301473).

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 7056 = 6804^2 + 84^2 .

It is not an unprimeable number, because it can be changed into a prime (46301471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239808 + ... + 240000.

Almost surely, 2^46301472 is an apocalyptic number.

46301472 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 46301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81508518).

46301472 is an abundant number, since it is smaller than the sum of its proper divisors (116715564).

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

46301472 is a wasteful number, since it uses less digits than its factorization.

46301472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46301472 is about 6804.5184987624. The cubic root of 46301472 is about 359.0858286988.

The spelling of 46301472 in words is "forty-six million, three hundred one thousand, four hundred seventy-two".