146684480 has 56 divisors (see below), whose sum is σ = 350334072. Its totient is φ = 58499072.

The previous prime is 146684479. The next prime is 146684491. The reversal of 146684480 is 84486641.

It can be written as a sum of positive squares in 4 ways, for example, as 1915456 + 144769024 = 1384^2 + 12032^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189374 + ... + 190146.

Almost surely, 2^146684480 is an apocalyptic number.

146684480 is a gapful number since it is divisible by the number (10) 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 146684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175167036).

146684480 is an abundant number, since it is smaller than the sum of its proper divisors (203649592).

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

146684480 is an equidigital number, since it uses as much as digits as its factorization.

146684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 146684480 is about 12111.3368378557. The cubic root of 146684480 is about 527.3853422847.

The spelling of 146684480 in words is "one hundred forty-six million, six hundred eighty-four thousand, four hundred eighty".