46196800 has 84 divisors (see below), whose sum is σ = 122472196. Its totient is φ = 17049600.

The previous prime is 46196783. The next prime is 46196807. The reversal of 46196800 is 869164.

It can be written as a sum of positive squares in 6 ways, for example, as 2742336 + 43454464 = 1656^2 + 6592^2 .

It is not an unprimeable number, because it can be changed into a prime (46196807) 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, 19690 + ... + 21910.

Almost surely, 2^46196800 is an apocalyptic number.

46196800 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 46196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61236098).

46196800 is an abundant number, since it is smaller than the sum of its proper divisors (76275396).

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

46196800 is a wasteful number, since it uses less digits than its factorization.

46196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 46196800 is about 6796.8227871558. The cubic root of 46196800 is about 358.8150339189.

The spelling of 46196800 in words is "forty-six million, one hundred ninety-six thousand, eight hundred".