146780460 has 72 divisors (see below), whose sum is σ = 449454096. Its totient is φ = 38770560.

The previous prime is 146780419. The next prime is 146780461. The reversal of 146780460 is 64087641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146780461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15450 + ... + 23070.

It is an arithmetic number, because the mean of its divisors is an integer number (6242418).

Almost surely, 2^146780460 is an apocalyptic number.

146780460 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 146780460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224727048).

146780460 is an abundant number, since it is smaller than the sum of its proper divisors (302673636).

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

146780460 is a wasteful number, since it uses less digits than its factorization.

146780460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146780460 is about 12115.2985931012. The cubic root of 146780460 is about 527.5003451552.

The spelling of 146780460 in words is "one hundred forty-six million, seven hundred eighty thousand, four hundred sixty".