46802800 has 90 divisors (see below), whose sum is σ = 123722984. Its totient is φ = 17001600.

The previous prime is 46802797. The next prime is 46802801. The reversal of 46802800 is 820864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46802801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47917 + ... + 48883.

Almost surely, 2^46802800 is an apocalyptic number.

46802800 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 46802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61861492).

46802800 is an abundant number, since it is smaller than the sum of its proper divisors (76920184).

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

46802800 is a wasteful number, since it uses less digits than its factorization.

46802800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 46802800 is about 6841.2571944051. The cubic root of 46802800 is about 360.3771767055.

The spelling of 46802800 in words is "forty-six million, eight hundred two thousand, eight hundred".