416981250 has 192 divisors, whose sum is σ = 1327415040. Its totient is φ = 95040000.

The previous prime is 416981249. The next prime is 416981251. The reversal of 416981250 is 52189614.

It is an interprime number because it is at equal distance from previous prime (416981249) and next prime (416981251).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416981251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181074 + ... + 1181426.

It is an arithmetic number, because the mean of its divisors is an integer number (6913620).

Almost surely, 2^416981250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416981250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663707520).

416981250 is an abundant number, since it is smaller than the sum of its proper divisors (910433790).

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

416981250 is an equidigital number, since it uses as much as digits as its factorization.

416981250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 416981250 is about 20420.1187557761. The cubic root of 416981250 is about 747.0887138393.

The spelling of 416981250 in words is "four hundred sixteen million, nine hundred eighty-one thousand, two hundred fifty".