5454086400 has 756 divisors, whose sum is σ = 23270302272. Its totient is φ = 1239183360.

The previous prime is 5454086389. The next prime is 5454086411. The reversal of 5454086400 is 46804545.

5454086400 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 0 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5454086389) and next prime (5454086411).

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32659117 + ... + 32659283.

Almost surely, 2^5454086400 is an apocalyptic number.

5454086400 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 5454086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635151136).

5454086400 is an abundant number, since it is smaller than the sum of its proper divisors (17816215872).

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

5454086400 is an equidigital number, since it uses as much as digits as its factorization.

5454086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5454086400 is about 73851.7867082442. The cubic root of 5454086400 is about 1760.2485874767.

The spelling of 5454086400 in words is "five billion, four hundred fifty-four million, eighty-six thousand, four hundred".