5434050400 has 72 divisors (see below), whose sum is σ = 13277431440. Its totient is φ = 2171727360.

The previous prime is 5434050389. The next prime is 5434050443. The reversal of 5434050400 is 40504345.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1245022 + ... + 1249378.

It is an arithmetic number, because the mean of its divisors is an integer number (184408770).

Almost surely, 2^5434050400 is an apocalyptic number.

5434050400 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 5434050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638715720).

5434050400 is an abundant number, since it is smaller than the sum of its proper divisors (7843381040).

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

5434050400 is a wasteful number, since it uses less digits than its factorization.

5434050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5434050400 is about 73716.0118291813. The cubic root of 5434050400 is about 1758.0904737592.

Adding to 5434050400 its reverse (40504345), we get a palindrome (5474554745).

The spelling of 5434050400 in words is "five billion, four hundred thirty-four million, fifty thousand, four hundred".