406401300 has 180 divisors, whose sum is σ = 1330914816. Its totient is φ = 107265600.

The previous prime is 406401277. The next prime is 406401311. The reversal of 406401300 is 3104604.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1060909 + ... + 1061291.

Almost surely, 2^406401300 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 406401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

406401300 is an abundant number, since it is smaller than the sum of its proper divisors (924513516).

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

406401300 is a wasteful number, since it uses less digits than its factorization.

406401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406401300 is about 20159.3973124198. The cubic root of 406401300 is about 740.7159494141.

Adding to 406401300 its reverse (3104604), we get a palindrome (409505904).

The spelling of 406401300 in words is "four hundred six million, four hundred one thousand, three hundred".