465818220 has 288 divisors, whose sum is σ = 1690730496. Its totient is φ = 101606400.

The previous prime is 465818191. The next prime is 465818263. The reversal of 465818220 is 22818564.

It is a super-2 number, since 2×465818220² = 433973228167936800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3667797 + ... + 3667923.

It is an arithmetic number, because the mean of its divisors is an integer number (5870592).

Almost surely, 2^465818220 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 465818220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845365248).

465818220 is an abundant number, since it is smaller than the sum of its proper divisors (1224912276).

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

465818220 is a wasteful number, since it uses less digits than its factorization.

465818220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 465818220 is about 21582.8223362933. The cubic root of 465818220 is about 775.1852321724.

The spelling of 465818220 in words is "four hundred sixty-five million, eight hundred eighteen thousand, two hundred twenty".