465975180 has 240 divisors, whose sum is σ = 1619735040. Its totient is φ = 111196800.

The previous prime is 465975173. The next prime is 465975221. The reversal of 465975180 is 81579564.

465975180 is a `hidden beast` number, since 4 + 6 + 597 + 51 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1407615 + ... + 1407945.

It is an arithmetic number, because the mean of its divisors is an integer number (6748896).

Almost surely, 2^465975180 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 465975180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809867520).

465975180 is an abundant number, since it is smaller than the sum of its proper divisors (1153759860).

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

465975180 is a wasteful number, since it uses less digits than its factorization.

465975180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 465975180 is about 21586.4582551191. The cubic root of 465975180 is about 775.2722900312.

The spelling of 465975180 in words is "four hundred sixty-five million, nine hundred seventy-five thousand, one hundred eighty".