406252800 has 216 divisors, whose sum is σ = 1490321280. Its totient is φ = 108288000.

The previous prime is 406252783. The next prime is 406252801. The reversal of 406252800 is 8252604.

406252800 is a `hidden beast` number, since 406 + 252 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406252801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171625 + ... + 173975.

Almost surely, 2^406252800 is an apocalyptic number.

406252800 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 406252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745160640).

406252800 is an abundant number, since it is smaller than the sum of its proper divisors (1084068480).

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

406252800 is a wasteful number, since it uses less digits than its factorization.

406252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 406252800 is about 20155.7138300781. The cubic root of 406252800 is about 740.6257186341.

The spelling of 406252800 in words is "four hundred six million, two hundred fifty-two thousand, eight hundred".