46896300 has 144 divisors (see below), whose sum is σ = 164572800. Its totient is φ = 11361600.

The previous prime is 46896293. The next prime is 46896301. The reversal of 46896300 is 369864.

46896300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46896301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28911 + ... + 30489.

Almost surely, 2^46896300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46896300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82286400).

46896300 is an abundant number, since it is smaller than the sum of its proper divisors (117676500).

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

46896300 is a wasteful number, since it uses less digits than its factorization.

46896300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46896300 is about 6848.0873242096. The cubic root of 46896300 is about 360.6169974906.

The spelling of 46896300 in words is "forty-six million, eight hundred ninety-six thousand, three hundred".