46796800 has 78 divisors (see below), whose sum is σ = 116295818. Its totient is φ = 18677760.

The previous prime is 46796747. The next prime is 46796809. The reversal of 46796800 is 869764.

It can be written as a sum of positive squares in 3 ways, for example, as 9048064 + 37748736 = 3008^2 + 6144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46796809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102172 + ... + 102628.

Almost surely, 2^46796800 is an apocalyptic number.

46796800 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 46796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58147909).

46796800 is an abundant number, since it is smaller than the sum of its proper divisors (69499018).

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

46796800 is an equidigital number, since it uses as much as digits as its factorization.

46796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 46796800 is about 6840.8186644582. The cubic root of 46796800 is about 360.3617762347.

The spelling of 46796800 in words is "forty-six million, seven hundred ninety-six thousand, eight hundred".