153821400 has 48 divisors (see below), whose sum is σ = 476848200. Its totient is φ = 41018880.

The previous prime is 153821399. The next prime is 153821407. The reversal of 153821400 is 4128351.

It is a super-2 number, since 2×153821400² = 47322046195920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153821407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127585 + ... + 128784.

Almost surely, 2^153821400 is an apocalyptic number.

153821400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153821400 is an abundant number, since it is smaller than the sum of its proper divisors (323026800).

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

153821400 is a wasteful number, since it uses less digits than its factorization.

153821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256388 (or 256379 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 153821400 is about 12402.4755593389. The cubic root of 153821400 is about 535.8035498238.

Adding to 153821400 its reverse (4128351), we get a palindrome (157949751).

The spelling of 153821400 in words is "one hundred fifty-three million, eight hundred twenty-one thousand, four hundred".