153530400 has 288 divisors, whose sum is σ = 546715008. Its totient is φ = 37273600.

The previous prime is 153530387. The next prime is 153530411. The reversal of 153530400 is 4035351.

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, 2162365 + ... + 2162435.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2^153530400 is an apocalyptic number.

153530400 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 153530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273357504).

153530400 is an abundant number, since it is smaller than the sum of its proper divisors (393184608).

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

153530400 is a wasteful number, since it uses less digits than its factorization.

153530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 153530400 is about 12390.7384767818. The cubic root of 153530400 is about 535.4654580301.

Adding to 153530400 its reverse (4035351), we get a palindrome (157565751).

The spelling of 153530400 in words is "one hundred fifty-three million, five hundred thirty thousand, four hundred".