153800416 has 144 divisors (see below), whose sum is σ = 396274032. Its totient is φ = 58060800.

The previous prime is 153800407. The next prime is 153800431. The reversal of 153800416 is 614008351.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 638056 + ... + 638296.

It is an arithmetic number, because the mean of its divisors is an integer number (2751903).

Almost surely, 2^153800416 is an apocalyptic number.

153800416 is a gapful number since it is divisible by the number (16) 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 153800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198137016).

153800416 is an abundant number, since it is smaller than the sum of its proper divisors (242473616).

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

153800416 is a wasteful number, since it uses less digits than its factorization.

153800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 153800416 is about 12401.6295703428. The cubic root of 153800416 is about 535.7791843086.

Adding to 153800416 its reverse (614008351), we get a palindrome (767808767).

The spelling of 153800416 in words is "one hundred fifty-three million, eight hundred thousand, four hundred sixteen".