416351040 has 336 divisors, whose sum is σ = 1576132992. Its totient is φ = 92811264.

The previous prime is 416351027. The next prime is 416351053. The reversal of 416351040 is 40153614.

It is an interprime number because it is at equal distance from previous prime (416351027) and next prime (416351053).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 416351040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493037 + ... + 2493203.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2^416351040 is an apocalyptic number.

416351040 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 416351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788066496).

416351040 is an abundant number, since it is smaller than the sum of its proper divisors (1159781952).

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

416351040 is a wasteful number, since it uses less digits than its factorization.

416351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 416351040 is about 20404.6818157010. The cubic root of 416351040 is about 746.7121500071.

The spelling of 416351040 in words is "four hundred sixteen million, three hundred fifty-one thousand, forty".