5429600 has 72 divisors (see below), whose sum is σ = 14483448. Its totient is φ = 1971200.

The previous prime is 5429597. The next prime is 5429609. The reversal of 5429600 is 69245.

It is a self number, because there is not a number n which added to its sum of digits gives 5429600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5429609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8492 + ... + 9108.

It is an arithmetic number, because the mean of its divisors is an integer number (201159).

Almost surely, 2^5429600 is an apocalyptic number.

5429600 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 5429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241724).

5429600 is an abundant number, since it is smaller than the sum of its proper divisors (9053848).

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

5429600 is a wasteful number, since it uses less digits than its factorization.

5429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5429600 is about 2330.1502097504. The cubic root of 5429600 is about 175.7610393389.

The spelling of 5429600 in words is "five million, four hundred twenty-nine thousand, six hundred".