146779416 has 96 divisors (see below), whose sum is σ = 457111200. Its totient is φ = 41679360.

The previous prime is 146779403. The next prime is 146779483. The reversal of 146779416 is 614977641.

It is a super-2 number, since 2×146779416² = 43088393922602112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90420 + ... + 92028.

It is an arithmetic number, because the mean of its divisors is an integer number (4761575).

Almost surely, 2^146779416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146779416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228555600).

146779416 is an abundant number, since it is smaller than the sum of its proper divisors (310331784).

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

146779416 is a wasteful number, since it uses less digits than its factorization.

146779416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 146779416 is about 12115.2555070044. The cubic root of 146779416 is about 527.4990945082.

The spelling of 146779416 in words is "one hundred forty-six million, seven hundred seventy-nine thousand, four hundred sixteen".