5394074400 has 864 divisors, whose sum is σ = 23203514880. Its totient is φ = 1168128000.

The previous prime is 5394074393. The next prime is 5394074423. The reversal of 5394074400 is 44704935.

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 143 ways as a sum of consecutive naturals, for example, 174002385 + ... + 174002415.

It is an arithmetic number, because the mean of its divisors is an integer number (26855920).

Almost surely, 2^5394074400 is an apocalyptic number.

5394074400 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 5394074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601757440).

5394074400 is an abundant number, since it is smaller than the sum of its proper divisors (17809440480).

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

5394074400 is a wasteful number, since it uses less digits than its factorization.

5394074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5394074400 is about 73444.3626155201. The cubic root of 5394074400 is about 1753.7686836297.

The spelling of 5394074400 in words is "five billion, three hundred ninety-four million, seventy-four thousand, four hundred".