153338400 has 288 divisors, whose sum is σ = 574963200. Its totient is φ = 39398400.

The previous prime is 153338363. The next prime is 153338407. The reversal of 153338400 is 4833351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153338407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669486 + ... + 669714.

It is an arithmetic number, because the mean of its divisors is an integer number (1996400).

Almost surely, 2^153338400 is an apocalyptic number.

153338400 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 153338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287481600).

153338400 is an abundant number, since it is smaller than the sum of its proper divisors (421624800).

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

153338400 is a wasteful number, since it uses less digits than its factorization.

153338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 153338400 is about 12382.9883307706. The cubic root of 153338400 is about 535.2421531680.

The spelling of 153338400 in words is "one hundred fifty-three million, three hundred thirty-eight thousand, four hundred".