406062800 has 240 divisors, whose sum is σ = 1188257280. Its totient is φ = 131328000.

The previous prime is 406062779. The next prime is 406062841. The reversal of 406062800 is 8260604.

It is a Cunningham number, because it is equal to 20151²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 406062800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773086 + ... + 1773314.

It is an arithmetic number, because the mean of its divisors is an integer number (4951072).

Almost surely, 2^406062800 is an apocalyptic number.

406062800 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 406062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594128640).

406062800 is an abundant number, since it is smaller than the sum of its proper divisors (782194480).

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

406062800 is a wasteful number, since it uses less digits than its factorization.

406062800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 406062800 is about 20150.9999751873. Note that the first 4 decimals coincide. The cubic root of 406062800 is about 740.5102397748.

The spelling of 406062800 in words is "four hundred six million, sixty-two thousand, eight hundred".