416152320 has 288 divisors, whose sum is σ = 1426057920. Its totient is φ = 103219200.

The previous prime is 416152313. The next prime is 416152327. The reversal of 416152320 is 23251614.

It is an interprime number because it is at equal distance from previous prime (416152313) and next prime (416152327).

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

It is not an unprimeable number, because it can be changed into a prime (416152327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120270 + ... + 4120370.

It is an arithmetic number, because the mean of its divisors is an integer number (4951590).

Almost surely, 2^416152320 is an apocalyptic number.

416152320 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 416152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713028960).

416152320 is an abundant number, since it is smaller than the sum of its proper divisors (1009905600).

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

416152320 is a wasteful number, since it uses less digits than its factorization.

416152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

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

The square root of 416152320 is about 20399.8117638374. The cubic root of 416152320 is about 746.5933317998.

The spelling of 416152320 in words is "four hundred sixteen million, one hundred fifty-two thousand, three hundred twenty".