465306156 has 216 divisors, whose sum is σ = 1444724736. Its totient is φ = 125737920.

The previous prime is 465306119. The next prime is 465306173. The reversal of 465306156 is 651603564.

465306156 is a `hidden beast` number, since 4 + 6 + 5 + 30 + 615 + 6 = 666.

It is a super-2 number, since 2×465306156² = 433019637622992672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 465306156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3663765 + ... + 3663891.

Almost surely, 2^465306156 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 465306156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722362368).

465306156 is an abundant number, since it is smaller than the sum of its proper divisors (979418580).

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

465306156 is a wasteful number, since it uses less digits than its factorization.

465306156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 465306156 is about 21570.9563070347. The cubic root of 465306156 is about 774.9010798476.

The spelling of 465306156 in words is "four hundred sixty-five million, three hundred six thousand, one hundred fifty-six".