406298400 has 288 divisors, whose sum is σ = 1407909888. Its totient is φ = 101606400.

The previous prime is 406298353. The next prime is 406298449. The reversal of 406298400 is 4892604.

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, 3199137 + ... + 3199263.

It is an arithmetic number, because the mean of its divisors is an integer number (4888576).

Almost surely, 2^406298400 is an apocalyptic number.

406298400 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 406298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703954944).

406298400 is an abundant number, since it is smaller than the sum of its proper divisors (1001611488).

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

406298400 is a wasteful number, since it uses less digits than its factorization.

406298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 406298400 is about 20156.8449912182. The cubic root of 406298400 is about 740.6534282025.

The spelling of 406298400 in words is "four hundred six million, two hundred ninety-eight thousand, four hundred".