406036800 has 420 divisors, whose sum is σ = 1613965276. Its totient is φ = 99532800.

The previous prime is 406036793. The next prime is 406036837. The reversal of 406036800 is 8630604.

It can be written as a sum of positive squares in 6 ways, for example, as 16842816 + 389193984 = 4104^2 + 19728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684680 + ... + 1684920.

Almost surely, 2^406036800 is an apocalyptic number.

406036800 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 406036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806982638).

406036800 is an abundant number, since it is smaller than the sum of its proper divisors (1207928476).

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

406036800 is a wasteful number, since it uses less digits than its factorization.

406036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 406036800 is about 20150.3548355854. The cubic root of 406036800 is about 740.4944346028.

The spelling of 406036800 in words is "four hundred six million, thirty-six thousand, eight hundred".