645413400 has 192 divisors, whose sum is σ = 2271283200. Its totient is φ = 168382080.

The previous prime is 645413393. The next prime is 645413429. The reversal of 645413400 is 4314546.

645413400 is a `hidden beast` number, since 645 + 4 + 13 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252529 + ... + 255071.

It is an arithmetic number, because the mean of its divisors is an integer number (11829600).

Almost surely, 2^645413400 is an apocalyptic number.

645413400 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 645413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135641600).

645413400 is an abundant number, since it is smaller than the sum of its proper divisors (1625869800).

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

645413400 is a wasteful number, since it uses less digits than its factorization.

645413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 645413400 is about 25404.9876992688. The cubic root of 645413400 is about 864.1968108749.

Adding to 645413400 its reverse (4314546), we get a palindrome (649727946).

The spelling of 645413400 in words is "six hundred forty-five million, four hundred thirteen thousand, four hundred".