416453352 has 192 divisors, whose sum is σ = 1319353920. Its totient is φ = 108767232.

The previous prime is 416453351. The next prime is 416453353. The reversal of 416453352 is 253354614.

It is an interprime number because it is at equal distance from previous prime (416453351) and next prime (416453353).

It is not an unprimeable number, because it can be changed into a prime (416453351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739423 + ... + 739985.

It is an arithmetic number, because the mean of its divisors is an integer number (6871635).

Almost surely, 2^416453352 is an apocalyptic number.

416453352 is a gapful number since it is divisible by the number (42) 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 416453352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659676960).

416453352 is an abundant number, since it is smaller than the sum of its proper divisors (902900568).

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

416453352 is a wasteful number, since it uses less digits than its factorization.

416453352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 416453352 is about 20407.1887333851. The cubic root of 416453352 is about 746.7733094208.

The spelling of 416453352 in words is "four hundred sixteen million, four hundred fifty-three thousand, three hundred fifty-two".