465727680 has 336 divisors, whose sum is σ = 1783555488. Its totient is φ = 110592000.

The previous prime is 465727657. The next prime is 465727681. The reversal of 465727680 is 86727564.

465727680 is a `hidden beast` number, since 4 + 6 + 572 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465727681) 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, 1932360 + ... + 1932600.

Almost surely, 2^465727680 is an apocalyptic number.

465727680 is a gapful number since it is divisible by the number (40) 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 465727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891777744).

465727680 is an abundant number, since it is smaller than the sum of its proper divisors (1317827808).

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

465727680 is a wasteful number, since it uses less digits than its factorization.

465727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 465727680 is about 21580.7247329648. The cubic root of 465727680 is about 775.1350052701.

The spelling of 465727680 in words is "four hundred sixty-five million, seven hundred twenty-seven thousand, six hundred eighty".