46628700 has 72 divisors (see below), whose sum is σ = 137824512. Its totient is φ = 12166080.

The previous prime is 46628689. The next prime is 46628707. The reversal of 46628700 is 782664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46628707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12447 + ... + 15753.

Almost surely, 2^46628700 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 46628700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68912256).

46628700 is an abundant number, since it is smaller than the sum of its proper divisors (91195812).

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

46628700 is a wasteful number, since it uses less digits than its factorization.

46628700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 46628700 is about 6828.5210697486. The cubic root of 46628700 is about 359.9297702509.

The spelling of 46628700 in words is "forty-six million, six hundred twenty-eight thousand, seven hundred".