153488400 has 120 divisors (see below), whose sum is σ = 529549440. Its totient is φ = 37777920.

The previous prime is 153488369. The next prime is 153488411. The reversal of 153488400 is 4884351.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10681 + ... + 20519.

It is an arithmetic number, because the mean of its divisors is an integer number (4412912).

Almost surely, 2^153488400 is an apocalyptic number.

153488400 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 153488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264774720).

153488400 is an abundant number, since it is smaller than the sum of its proper divisors (376061040).

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

153488400 is a wasteful number, since it uses less digits than its factorization.

153488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 153488400 is about 12389.0435466181. The cubic root of 153488400 is about 535.4166260066.

The spelling of 153488400 in words is "one hundred fifty-three million, four hundred eighty-eight thousand, four hundred".