65480400 has 300 divisors, whose sum is σ = 245585472. Its totient is φ = 16692480.

The previous prime is 65480399. The next prime is 65480407. The reversal of 65480400 is 408456.

65480400 is a `hidden beast` number, since 654 + 8 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65480407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1393177 + ... + 1393223.

Almost surely, 2^65480400 is an apocalyptic number.

65480400 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 65480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122792736).

65480400 is an abundant number, since it is smaller than the sum of its proper divisors (180105072).

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

65480400 is a wasteful number, since it uses less digits than its factorization.

65480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 65480400 is about 8091.9960454760. The cubic root of 65480400 is about 403.0606874148.

Adding to 65480400 its reverse (408456), we get a palindrome (65888856).

The spelling of 65480400 in words is "sixty-five million, four hundred eighty thousand, four hundred".