5485190400 has 324 divisors, whose sum is σ = 20342885472. Its totient is φ = 1462302720.

The previous prime is 5485190383. The next prime is 5485190401. The reversal of 5485190400 is 40915845.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485190401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1553437 + ... + 1556963.

Almost surely, 2^5485190400 is an apocalyptic number.

5485190400 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 5485190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171442736).

5485190400 is an abundant number, since it is smaller than the sum of its proper divisors (14857695072).

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

5485190400 is an equidigital number, since it uses as much as digits as its factorization.

5485190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5485190400 is about 74062.0712645818. The cubic root of 5485190400 is about 1763.5884087612.

The spelling of 5485190400 in words is "five billion, four hundred eighty-five million, one hundred ninety thousand, four hundred".