46628660 has 48 divisors (see below), whose sum is σ = 111014400. Its totient is φ = 16308864.

The previous prime is 46628657. The next prime is 46628663. The reversal of 46628660 is 6682664.

It is an interprime number because it is at equal distance from previous prime (46628657) and next prime (46628663).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46628663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (2312800).

Almost surely, 2^46628660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46628660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55507200).

46628660 is an abundant number, since it is smaller than the sum of its proper divisors (64385740).

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

46628660 is a wasteful number, since it uses less digits than its factorization.

46628660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 46628660 is about 6828.5181408560. The cubic root of 46628660 is about 359.9296673301.

The spelling of 46628660 in words is "forty-six million, six hundred twenty-eight thousand, six hundred sixty".