6301464400 has 240 divisors, whose sum is σ = 19058244480. Its totient is φ = 1945036800.

The previous prime is 6301464397. The next prime is 6301464401. The reversal of 6301464400 is 44641036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6301464401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3356262 + ... + 3358138.

It is an arithmetic number, because the mean of its divisors is an integer number (79409352).

Almost surely, 2^6301464400 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 6301464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9529122240).

6301464400 is an abundant number, since it is smaller than the sum of its proper divisors (12756780080).

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

6301464400 is a wasteful number, since it uses less digits than its factorization.

6301464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 6301464400 is about 79381.7636488381. The cubic root of 6301464400 is about 1847.0578410526.

The spelling of 6301464400 in words is "six billion, three hundred one million, four hundred sixty-four thousand, four hundred".