46133700 has 72 divisors (see below), whose sum is σ = 134866368. Its totient is φ = 12174720.

The previous prime is 46133677. The next prime is 46133713. The reversal of 46133700 is 733164.

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, 30154 + ... + 31646.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 2^46133700 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 46133700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67433184).

46133700 is an abundant number, since it is smaller than the sum of its proper divisors (88732668).

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

46133700 is a wasteful number, since it uses less digits than its factorization.

46133700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 46133700 is about 6792.1793262546. The cubic root of 46133700 is about 358.6515915377.

Adding to 46133700 its reverse (733164), we get a palindrome (46866864).

The spelling of 46133700 in words is "forty-six million, one hundred thirty-three thousand, seven hundred".