6029457408 has 144 divisors (see below), whose sum is σ = 18754477560. Its totient is φ = 1855143936.

The previous prime is 6029457389. The next prime is 6029457409. The reversal of 6029457408 is 8047549206.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6029457409) 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, 227035 + ... + 252197.

Almost surely, 2^6029457408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6029457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377238780).

6029457408 is an abundant number, since it is smaller than the sum of its proper divisors (12725020152).

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

6029457408 is a wasteful number, since it uses less digits than its factorization.

6029457408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25204 (or 25181 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6029457408 is about 77649.5808617149. The cubic root of 6029457408 is about 1820.0894984769.

The spelling of 6029457408 in words is "six billion, twenty-nine million, four hundred fifty-seven thousand, four hundred eight".