46683360 has 144 divisors (see below), whose sum is σ = 168766416. Its totient is φ = 11710464.

The previous prime is 46683349. The next prime is 46683383. The reversal of 46683360 is 6338664.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×46683360² = 4358672201779200, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23527 + ... + 25433.

It is an arithmetic number, because the mean of its divisors is an integer number (1171989).

Almost surely, 2^46683360 is an apocalyptic number.

46683360 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 46683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84383208).

46683360 is an abundant number, since it is smaller than the sum of its proper divisors (122083056).

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

46683360 is a wasteful number, since it uses less digits than its factorization.

46683360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1934 counting only the distinct ones).

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

The square root of 46683360 is about 6832.5222282844. The cubic root of 46683360 is about 360.0703566193.

The spelling of 46683360 in words is "forty-six million, six hundred eighty-three thousand, three hundred sixty".