406502400 has 264 divisors, whose sum is σ = 1380824320. Its totient is φ = 105431040.

The previous prime is 406502399. The next prime is 406502423. The reversal of 406502400 is 4205604.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 5145561 + ... + 5145639.

Almost surely, 2^406502400 is an apocalyptic number.

406502400 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 406502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690412160).

406502400 is an abundant number, since it is smaller than the sum of its proper divisors (974321920).

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

406502400 is a wasteful number, since it uses less digits than its factorization.

406502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 406502400 is about 20161.9046719302. The cubic root of 406502400 is about 740.7773666828. Note that the first 3 decimals are identical.

The spelling of 406502400 in words is "four hundred six million, five hundred two thousand, four hundred".