410225400 has 288 divisors, whose sum is σ = 1519277760. Its totient is φ = 98565120.

The previous prime is 410225399. The next prime is 410225411. The reversal of 410225400 is 4522014.

410225400 is a `hidden beast` number, since 41 + 0 + 225 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1099614 + ... + 1099986.

It is an arithmetic number, because the mean of its divisors is an integer number (5275270).

Almost surely, 2^410225400 is an apocalyptic number.

410225400 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 410225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759638880).

410225400 is an abundant number, since it is smaller than the sum of its proper divisors (1109052360).

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

410225400 is a wasteful number, since it uses less digits than its factorization.

410225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 410225400 is about 20254.0218228381. The cubic root of 410225400 is about 743.0319963856.

Adding to 410225400 its reverse (4522014), we get a palindrome (414747414).

The spelling of 410225400 in words is "four hundred ten million, two hundred twenty-five thousand, four hundred".