410042400 has 72 divisors (see below), whose sum is σ = 1334695824. Its totient is φ = 109344000.

The previous prime is 410042383. The next prime is 410042417. The reversal of 410042400 is 4240014.

It is an interprime number because it is at equal distance from previous prime (410042383) and next prime (410042417).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 410042400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83026 + ... + 87825.

It is an arithmetic number, because the mean of its divisors is an integer number (18537442).

Almost surely, 2^410042400 is an apocalyptic number.

410042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410042400 is an abundant number, since it is smaller than the sum of its proper divisors (924653424).

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

410042400 is a wasteful number, since it uses less digits than its factorization.

410042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170874 (or 170861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 410042400 is about 20249.5036976218. The cubic root of 410042400 is about 742.9214920306.

Adding to 410042400 its reverse (4240014), we get a palindrome (414282414).

The spelling of 410042400 in words is "four hundred ten million, forty-two thousand, four hundred".