5455850400 has 864 divisors, whose sum is σ = 25865094528. Its totient is φ = 1045094400.

The previous prime is 5455850383. The next prime is 5455850441. The reversal of 5455850400 is 40585545.

5455850400 is a `hidden beast` number, since 54 + 558 + 50 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7206822 + ... + 7207578.

It is an arithmetic number, because the mean of its divisors is an integer number (29936452).

Almost surely, 2^5455850400 is an apocalyptic number.

5455850400 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 5455850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932547264).

5455850400 is an abundant number, since it is smaller than the sum of its proper divisors (20409244128).

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

5455850400 is a wasteful number, since it uses less digits than its factorization.

5455850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 5455850400 is about 73863.7285817606. The cubic root of 5455850400 is about 1760.4383377902.

The spelling of 5455850400 in words is "five billion, four hundred fifty-five million, eight hundred fifty thousand, four hundred".