465466500 has 168 divisors, whose sum is σ = 1525364568. Its totient is φ = 124027200.

The previous prime is 465466489. The next prime is 465466523. The reversal of 465466500 is 5664564.

It is a happy number.

465466500 is a `hidden beast` number, since 46 + 54 + 66 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 457275456 = 2862^2 + 21384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 363862 + ... + 365138.

It is an arithmetic number, because the mean of its divisors is an integer number (9079551).

Almost surely, 2^465466500 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 465466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762682284).

465466500 is an abundant number, since it is smaller than the sum of its proper divisors (1059898068).

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

465466500 is a wasteful number, since it uses less digits than its factorization.

465466500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 465466500 is about 21574.6726510508. The cubic root of 465466500 is about 774.9900796510.

The spelling of 465466500 in words is "four hundred sixty-five million, four hundred sixty-six thousand, five hundred".