5400950400 has 480 divisors, whose sum is σ = 20293210080. Its totient is φ = 1414195200.

The previous prime is 5400950389. The next prime is 5400950411. The reversal of 5400950400 is 40590045.

It is an interprime number because it is at equal distance from previous prime (5400950389) and next prime (5400950411).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17366245 + ... + 17366555.

It is an arithmetic number, because the mean of its divisors is an integer number (42277521).

Almost surely, 2^5400950400 is an apocalyptic number.

5400950400 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 5400950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146605040).

5400950400 is an abundant number, since it is smaller than the sum of its proper divisors (14892259680).

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

5400950400 is a wasteful number, since it uses less digits than its factorization.

5400950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5400950400 is about 73491.1586519086. The cubic root of 5400950400 is about 1754.5135623144.

The spelling of 5400950400 in words is "five billion, four hundred million, nine hundred fifty thousand, four hundred".