406398300 has 288 divisors, whose sum is σ = 1492237824. Its totient is φ = 82944000.

The previous prime is 406398299. The next prime is 406398301. The reversal of 406398300 is 3893604.

It is an interprime number because it is at equal distance from previous prime (406398299) and next prime (406398301).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406398301) 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 95 ways as a sum of consecutive naturals, for example, 1686180 + ... + 1686420.

Almost surely, 2^406398300 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 406398300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746118912).

406398300 is an abundant number, since it is smaller than the sum of its proper divisors (1085839524).

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

406398300 is a wasteful number, since it uses less digits than its factorization.

406398300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 406398300 is about 20159.3229052962. The cubic root of 406398300 is about 740.7141267876.

The spelling of 406398300 in words is "four hundred six million, three hundred ninety-eight thousand, three hundred".