153468414 has 72 divisors (see below), whose sum is σ = 377447616. Its totient is φ = 44985600.

The previous prime is 153468409. The next prime is 153468421. The reversal of 153468414 is 414864351.

153468414 is a `hidden beast` number, since 153 + 468 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66382 + ... + 68654.

It is an arithmetic number, because the mean of its divisors is an integer number (5242328).

Almost surely, 2^153468414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153468414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188723808).

153468414 is an abundant number, since it is smaller than the sum of its proper divisors (223979202).

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

153468414 is a wasteful number, since it uses less digits than its factorization.

153468414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2320 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 153468414 is about 12388.2369205630. The cubic root of 153468414 is about 535.3933858113.

The spelling of 153468414 in words is "one hundred fifty-three million, four hundred sixty-eight thousand, four hundred fourteen".