416033280 has 320 divisors, whose sum is σ = 1594897920. Its totient is φ = 102187008.

The previous prime is 416033209. The next prime is 416033281. The reversal of 416033280 is 82330614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416033281) 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, 898329 + ... + 898791.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2^416033280 is an apocalyptic number.

416033280 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 416033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797448960).

416033280 is an abundant number, since it is smaller than the sum of its proper divisors (1178864640).

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

416033280 is a wasteful number, since it uses less digits than its factorization.

416033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416033280 is about 20396.8938811771. The cubic root of 416033280 is about 746.5221375588.

Adding to 416033280 its reverse (82330614), we get a palindrome (498363894).

The spelling of 416033280 in words is "four hundred sixteen million, thirty-three thousand, two hundred eighty".