46721400 has 96 divisors (see below), whose sum is σ = 158025600. Its totient is φ = 11324800.

The previous prime is 46721377. The next prime is 46721413. The reversal of 46721400 is 412764.

46721400 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 (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3061 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (1646100).

Almost surely, 2^46721400 is an apocalyptic number.

46721400 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 46721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79012800).

46721400 is an abundant number, since it is smaller than the sum of its proper divisors (111304200).

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

46721400 is a wasteful number, since it uses less digits than its factorization.

46721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 46721400 is about 6835.3054064906. The cubic root of 46721400 is about 360.1681313417.

The spelling of 46721400 in words is "forty-six million, seven hundred twenty-one thousand, four hundred".