46006800 has 120 divisors (see below), whose sum is σ = 168459456. Its totient is φ = 10513920.

The previous prime is 46006769. The next prime is 46006967. The reversal of 46006800 is 860064.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5662 + ... + 11138.

Almost surely, 2^46006800 is an apocalyptic number.

46006800 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 46006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84229728).

46006800 is an abundant number, since it is smaller than the sum of its proper divisors (122452656).

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

46006800 is a wasteful number, since it uses less digits than its factorization.

46006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 46006800 is about 6782.8312672512. The cubic root of 46006800 is about 358.3224418299.

Adding to 46006800 its reverse (860064), we get a palindrome (46866864).

The spelling of 46006800 in words is "forty-six million, six thousand, eight hundred".