153729460 has 24 divisors (see below), whose sum is σ = 324009000. Its totient is φ = 61267584.

The previous prime is 153729451. The next prime is 153729463. The reversal of 153729460 is 64927351.

153729460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68644 + 153660816 = 262^2 + 12396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153729463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8335 + ... + 19414.

It is an arithmetic number, because the mean of its divisors is an integer number (13500375).

Almost surely, 2^153729460 is an apocalyptic number.

153729460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153729460 is an abundant number, since it is smaller than the sum of its proper divisors (170279540).

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

153729460 is a wasteful number, since it uses less digits than its factorization.

153729460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28035 (or 28033 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 153729460 is about 12398.7684872329. The cubic root of 153729460 is about 535.6967775188.

The spelling of 153729460 in words is "one hundred fifty-three million, seven hundred twenty-nine thousand, four hundred sixty".