465235622250 has 256 divisors, whose sum is σ = 1392885891072. Its totient is φ = 101123616000.

The previous prime is 465235622141. The next prime is 465235622251. The reversal of 465235622250 is 52226532564.

It is a happy number.

It is a super-4 number, since 4×465235622250⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (465235622251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20878615 + ... + 20900885.

It is an arithmetic number, because the mean of its divisors is an integer number (5440960512).

Almost surely, 2^465235622250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465235622250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696442945536).

465235622250 is an abundant number, since it is smaller than the sum of its proper divisors (927650268822).

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

465235622250 is a wasteful number, since it uses less digits than its factorization.

465235622250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22494 (or 22484 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 465235622250 in words is "four hundred sixty-five billion, two hundred thirty-five million, six hundred twenty-two thousand, two hundred fifty".