416976400 has 45 divisors (see below), whose sum is σ = 1002767943. Its totient is φ = 166627200.

The previous prime is 416976389. The next prime is 416976431. The reversal of 416976400 is 4679614.

The square root of 416976400 is 20420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 415507456 = 1212^2 + 20384^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416976400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 407890 + ... + 408910.

Almost surely, 2^416976400 is an apocalyptic number.

416976400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

416976400 is the 20420-th square number.

It is an amenable number.

416976400 is an abundant number, since it is smaller than the sum of its proper divisors (585791543).

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

416976400 is an equidigital number, since it uses as much as digits as its factorization.

416976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 416976400 is about 747.0858173108.

The spelling of 416976400 in words is "four hundred sixteen million, nine hundred seventy-six thousand, four hundred".