6145301400 has 384 divisors, whose sum is σ = 22558556160. Its totient is φ = 1354752000.

The previous prime is 6145301369. The next prime is 6145301401. The reversal of 6145301400 is 41035416.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145301401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21869260 + ... + 21869540.

It is an arithmetic number, because the mean of its divisors is an integer number (58746240).

Almost surely, 2^6145301400 is an apocalyptic number.

6145301400 is a gapful number since it is divisible by the number (60) 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 6145301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279278080).

6145301400 is an abundant number, since it is smaller than the sum of its proper divisors (16413254760).

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

6145301400 is a wasteful number, since it uses less digits than its factorization.

6145301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6145301400 is about 78391.9728033426. The cubic root of 6145301400 is about 1831.6720958930.

Adding to 6145301400 its reverse (41035416), we get a palindrome (6186336816).

The spelling of 6145301400 in words is "six billion, one hundred forty-five million, three hundred one thousand, four hundred".