46287360 has 360 divisors, whose sum is σ = 191026836. Its totient is φ = 10321920.

The previous prime is 46287359. The next prime is 46287377. The reversal of 46287360 is 6378264.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 5531904 = 6384^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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, 1128940 + ... + 1128980.

Almost surely, 2^46287360 is an apocalyptic number.

46287360 is a gapful number since it is divisible by the number (40) 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 46287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95513418).

46287360 is an abundant number, since it is smaller than the sum of its proper divisors (144739476).

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

46287360 is a wasteful number, since it uses less digits than its factorization.

46287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 46287360 is about 6803.4814617224. The cubic root of 46287360 is about 359.0493436519.

The spelling of 46287360 in words is "forty-six million, two hundred eighty-seven thousand, three hundred sixty".