5434829400 has 384 divisors, whose sum is σ = 22623552000. Its totient is φ = 1042329600.

The previous prime is 5434829381. The next prime is 5434829423. The reversal of 5434829400 is 49284345.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596076 + ... + 605124.

It is an arithmetic number, because the mean of its divisors is an integer number (58915500).

Almost surely, 2^5434829400 is an apocalyptic number.

5434829400 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 5434829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311776000).

5434829400 is an abundant number, since it is smaller than the sum of its proper divisors (17188722600).

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

5434829400 is a wasteful number, since it uses less digits than its factorization.

5434829400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5434829400 is about 73721.2954308319. The cubic root of 5434829400 is about 1758.1744802822.

The spelling of 5434829400 in words is "five billion, four hundred thirty-four million, eight hundred twenty-nine thousand, four hundred".