6290530400 has 288 divisors, whose sum is σ = 20275702272. Its totient is φ = 1845043200.

The previous prime is 6290530373. The next prime is 6290530427. The reversal of 6290530400 is 40350926.

It is an interprime number because it is at equal distance from previous prime (6290530373) and next prime (6290530427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044197 + ... + 1050203.

It is an arithmetic number, because the mean of its divisors is an integer number (70401744).

Almost surely, 2^6290530400 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 6290530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137851136).

6290530400 is an abundant number, since it is smaller than the sum of its proper divisors (13985171872).

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

6290530400 is a wasteful number, since it uses less digits than its factorization.

6290530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 6290530400 is about 79312.8640259574. The cubic root of 6290530400 is about 1845.9889137201.

The spelling of 6290530400 in words is "six billion, two hundred ninety million, five hundred thirty thousand, four hundred".