5396406400 has 384 divisors, whose sum is σ = 16850171520. Its totient is φ = 1672704000.

The previous prime is 5396406361. The next prime is 5396406401. The reversal of 5396406400 is 46046935.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5396406400.

It is not an unprimeable number, because it can be changed into a prime (5396406401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29814310 + ... + 29814490.

It is an arithmetic number, because the mean of its divisors is an integer number (43880655).

Almost surely, 2^5396406400 is an apocalyptic number.

5396406400 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 5396406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425085760).

5396406400 is an abundant number, since it is smaller than the sum of its proper divisors (11453765120).

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

5396406400 is a wasteful number, since it uses less digits than its factorization.

5396406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 5396406400 is about 73460.2368632174. The cubic root of 5396406400 is about 1754.0213806347.

The spelling of 5396406400 in words is "five billion, three hundred ninety-six million, four hundred six thousand, four hundred".