465490200 has 288 divisors, whose sum is σ = 1709890560. Its totient is φ = 104428800.

The previous prime is 465490187. The next prime is 465490213. The reversal of 465490200 is 2094564.

It is an interprime number because it is at equal distance from previous prime (465490187) and next prime (465490213).

It is a super-2 number, since 2×465490200² = 433362252592080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2087289 + ... + 2087511.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^465490200 is an apocalyptic number.

465490200 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 465490200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

465490200 is an abundant number, since it is smaller than the sum of its proper divisors (1244400360).

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

465490200 is a wasteful number, since it uses less digits than its factorization.

465490200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 465490200 is about 21575.2218992065. The cubic root of 465490200 is about 775.0032327302.

The spelling of 465490200 in words is "four hundred sixty-five million, four hundred ninety thousand, two hundred".