46449600 has 84 divisors (see below), whose sum is σ = 152409144. Its totient is φ = 12385280.

The previous prime is 46449577. The next prime is 46449607. The reversal of 46449600 is 694464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46449607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 9638.

Almost surely, 2^46449600 is an apocalyptic number.

46449600 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 46449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204572).

46449600 is an abundant number, since it is smaller than the sum of its proper divisors (105959544).

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

46449600 is a wasteful number, since it uses less digits than its factorization.

46449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 46449600 is about 6815.3943392881. The cubic root of 46449600 is about 359.4683510484.

The spelling of 46449600 in words is "forty-six million, four hundred forty-nine thousand, six hundred".