64250400 has 144 divisors (see below), whose sum is σ = 220298400. Its totient is φ = 16220160.

The previous prime is 64250371. The next prime is 64250401. The reversal of 64250400 is 405246.

It is a happy number.

It is a super-2 number, since 2×64250400² = 8256227800320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64250401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44896 + ... + 46304.

It is an arithmetic number, because the mean of its divisors is an integer number (1529850).

Almost surely, 2^64250400 is an apocalyptic number.

64250400 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 64250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110149200).

64250400 is an abundant number, since it is smaller than the sum of its proper divisors (156048000).

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

64250400 is a wasteful number, since it uses less digits than its factorization.

64250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 64250400 is about 8015.6347222163. The cubic root of 64250400 is about 400.5209878013.

Adding to 64250400 its reverse (405246), we get a palindrome (64655646).

The spelling of 64250400 in words is "sixty-four million, two hundred fifty thousand, four hundred".