46689400 has 96 divisors (see below), whose sum is σ = 114166800. Its totient is φ = 17740800.

The previous prime is 46689397. The next prime is 46689407. The reversal of 46689400 is 498664.

It is a self number, because there is not a number n which added to its sum of digits gives 46689400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524556 + ... + 524644.

Almost surely, 2^46689400 is an apocalyptic number.

46689400 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 46689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57083400).

46689400 is an abundant number, since it is smaller than the sum of its proper divisors (67477400).

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

46689400 is a wasteful number, since it uses less digits than its factorization.

46689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 46689400 is about 6832.9642176730. The cubic root of 46689400 is about 360.0858848587.

It can be divided in two parts, 46689 and 400, that added together give a square (47089 = 217²).

The spelling of 46689400 in words is "forty-six million, six hundred eighty-nine thousand, four hundred".