46809600 has 240 divisors, whose sum is σ = 164400192. Its totient is φ = 11714560.

The previous prime is 46809583. The next prime is 46809601. The reversal of 46809600 is 690864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46809600² = 4382277304320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46809601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883174 + ... + 883226.

Almost surely, 2^46809600 is an apocalyptic number.

46809600 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 46809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82200096).

46809600 is an abundant number, since it is smaller than the sum of its proper divisors (117590592).

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

46809600 is a wasteful number, since it uses less digits than its factorization.

46809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 46809600 is about 6841.7541610321. The cubic root of 46809600 is about 360.3946289813.

The spelling of 46809600 in words is "forty-six million, eight hundred nine thousand, six hundred".