46863360 has 220 divisors, whose sum is σ = 169417908. Its totient is φ = 12386304.

The previous prime is 46863343. The next prime is 46863361. The reversal of 46863360 is 6336864.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 40144896 = 2592^2 + 6336^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46863361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414664 + ... + 414776.

Almost surely, 2^46863360 is an apocalyptic number.

46863360 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 46863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84708954).

46863360 is an abundant number, since it is smaller than the sum of its proper divisors (122554548).

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

46863360 is a wasteful number, since it uses less digits than its factorization.

46863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 46863360 is about 6845.6818506267. The cubic root of 46863360 is about 360.5325451550.

The spelling of 46863360 in words is "forty-six million, eight hundred sixty-three thousand, three hundred sixty".