153801400 has 24 divisors (see below), whose sum is σ = 357588720. Its totient is φ = 61520480.

The previous prime is 153801383. The next prime is 153801449. The reversal of 153801400 is 4108351.

It is a super-4 number, since 4×153801400⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384304 + ... + 384703.

It is an arithmetic number, because the mean of its divisors is an integer number (14899530).

Almost surely, 2^153801400 is an apocalyptic number.

153801400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153801400 is an abundant number, since it is smaller than the sum of its proper divisors (203787320).

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

153801400 is a wasteful number, since it uses less digits than its factorization.

153801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769023 (or 769014 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 153801400 is about 12401.6692424851. The cubic root of 153801400 is about 535.7803269271.

Adding to 153801400 its reverse (4108351), we get a palindrome (157909751).

The spelling of 153801400 in words is "one hundred fifty-three million, eight hundred one thousand, four hundred".