416878400 has 42 divisors (see below), whose sum is σ = 1025785350. Its totient is φ = 166750720.

The previous prime is 416878361. The next prime is 416878433. The reversal of 416878400 is 4878614.

It can be written as a sum of positive squares in 3 ways, for example, as 51609856 + 365268544 = 7184^2 + 19112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128675 + ... + 131874.

Almost surely, 2^416878400 is an apocalyptic number.

416878400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416878400 is an abundant number, since it is smaller than the sum of its proper divisors (608906950).

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

416878400 is a wasteful number, since it uses less digits than its factorization.

416878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260571 (or 260556 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 416878400 is about 20417.6002507640. The cubic root of 416878400 is about 747.0272847043.

The spelling of 416878400 in words is "four hundred sixteen million, eight hundred seventy-eight thousand, four hundred".