153456450 has 96 divisors (see below), whose sum is σ = 460577664. Its totient is φ = 33008640.

The previous prime is 153456431. The next prime is 153456461. The reversal of 153456450 is 54654351.

It is a super-3 number, since 3×153456450³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13552 + ... + 22148.

It is an arithmetic number, because the mean of its divisors is an integer number (4797684).

Almost surely, 2^153456450 is an apocalyptic number.

153456450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153456450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230288832).

153456450 is an abundant number, since it is smaller than the sum of its proper divisors (307121214).

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

153456450 is a wasteful number, since it uses less digits than its factorization.

153456450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 153456450 is about 12387.7540337222. The cubic root of 153456450 is about 535.3794728226.

The spelling of 153456450 in words is "one hundred fifty-three million, four hundred fifty-six thousand, four hundred fifty".