5446940400 has 360 divisors, whose sum is σ = 20738779776. Its totient is φ = 1312934400.

The previous prime is 5446940383. The next prime is 5446940407. The reversal of 5446940400 is 40496445.

It is a tau number, because it is divible by the number of its divisors (360).

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 (5446940407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10414539 + ... + 10415061.

Almost surely, 2^5446940400 is an apocalyptic number.

5446940400 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 5446940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369389888).

5446940400 is an abundant number, since it is smaller than the sum of its proper divisors (15291839376).

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

5446940400 is a wasteful number, since it uses less digits than its factorization.

5446940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5446940400 is about 73803.3901660351. The cubic root of 5446940400 is about 1759.4794862266.

The spelling of 5446940400 in words is "five billion, four hundred forty-six million, nine hundred forty thousand, four hundred".