5401804800 has 408 divisors, whose sum is σ = 20543544256. Its totient is φ = 1226833920.

The previous prime is 5401804783. The next prime is 5401804801. The reversal of 5401804800 is 84081045.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (5401804801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406322 + ... + 34406478.

Almost surely, 2^5401804800 is an apocalyptic number.

5401804800 is a gapful number since it is divisible by the number (50) 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 5401804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271772128).

5401804800 is an abundant number, since it is smaller than the sum of its proper divisors (15141739456).

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

5401804800 is an equidigital number, since it uses as much as digits as its factorization.

5401804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 5401804800 is about 73496.9713661726. The cubic root of 5401804800 is about 1754.6060754980.

Adding to 5401804800 its reverse (84081045), we get a palindrome (5485885845).

The spelling of 5401804800 in words is "five billion, four hundred one million, eight hundred four thousand, eight hundred".