153830400 has 132 divisors (see below), whose sum is σ = 508671312. Its totient is φ = 41000960.

The previous prime is 153830387. The next prime is 153830407. The reversal of 153830400 is 4038351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (153830407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75799 + ... + 77801.

Almost surely, 2^153830400 is an apocalyptic number.

153830400 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 153830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254335656).

153830400 is an abundant number, since it is smaller than the sum of its proper divisors (354840912).

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

153830400 is a wasteful number, since it uses less digits than its factorization.

153830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 153830400 is about 12402.8383848214. The cubic root of 153830400 is about 535.8139994706.

Adding to 153830400 its reverse (4038351), we get a palindrome (157868751).

The spelling of 153830400 in words is "one hundred fifty-three million, eight hundred thirty thousand, four hundred".