916401330 has 128 divisors (see below), whose sum is σ = 2653136640. Its totient is φ = 223741440.

The previous prime is 916401301. The next prime is 916401341. The reversal of 916401330 is 33104619.

916401330 is a `hidden beast` number, since 9 + 1 + 640 + 13 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 916401294 and 916401303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458814 + ... + 460806.

It is an arithmetic number, because the mean of its divisors is an integer number (20727630).

Almost surely, 2^916401330 is an apocalyptic number.

916401330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 916401330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326568320).

916401330 is an abundant number, since it is smaller than the sum of its proper divisors (1736735310).

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

916401330 is a wasteful number, since it uses less digits than its factorization.

916401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 916401330 is about 30272.1213330021. The cubic root of 916401330 is about 971.3190437046.

Adding to 916401330 its reverse (33104619), we get a palindrome (949505949).

The spelling of 916401330 in words is "nine hundred sixteen million, four hundred one thousand, three hundred thirty".