465822900 has 180 divisors, whose sum is σ = 1525006560. Its totient is φ = 122990400.

The previous prime is 465822893. The next prime is 465822949. The reversal of 465822900 is 9228564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1060881 + ... + 1061319.

Almost surely, 2^465822900 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 465822900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762503280).

465822900 is an abundant number, since it is smaller than the sum of its proper divisors (1059183660).

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

465822900 is a wasteful number, since it uses less digits than its factorization.

465822900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 465822900 is about 21582.9307555763. The cubic root of 465822900 is about 775.1878282171.

The spelling of 465822900 in words is "four hundred sixty-five million, eight hundred twenty-two thousand, nine hundred".