465087690 has 64 divisors (see below), whose sum is σ = 1244678400. Its totient is φ = 123579072.

The previous prime is 465087673. The next prime is 465087691. The reversal of 465087690 is 96780564.

465087690 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×465087690² = 432613118779072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (465087691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76171 + ... + 82049.

It is an arithmetic number, because the mean of its divisors is an integer number (19448100).

Almost surely, 2^465087690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465087690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622339200).

465087690 is an abundant number, since it is smaller than the sum of its proper divisors (779590710).

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

465087690 is a wasteful number, since it uses less digits than its factorization.

465087690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 465087690 is about 21565.8918201868. The cubic root of 465087690 is about 774.7797862015.

The spelling of 465087690 in words is "four hundred sixty-five million, eighty-seven thousand, six hundred ninety".