464134356 has 288 divisors, whose sum is σ = 1509580800. Its totient is φ = 117262080.

The previous prime is 464134351. The next prime is 464134373. The reversal of 464134356 is 653431464.

464134356 is a `hidden beast` number, since 4 + 641 + 3 + 4 + 3 + 5 + 6 = 666.

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 464134356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464134351) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7866655 + ... + 7866713.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^464134356 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 464134356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

464134356 is an abundant number, since it is smaller than the sum of its proper divisors (1045446444).

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

464134356 is a wasteful number, since it uses less digits than its factorization.

464134356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 464134356 is about 21543.7776631676. Note that the first 3 decimals coincide. The cubic root of 464134356 is about 774.2500444061.

The spelling of 464134356 in words is "four hundred sixty-four million, one hundred thirty-four thousand, three hundred fifty-six".