464755356 has 72 divisors (see below), whose sum is σ = 1277128944. Its totient is φ = 141649920.

The previous prime is 464755351. The next prime is 464755373. The reversal of 464755356 is 653557464.

464755356 is a `hidden beast` number, since 4 + 6 + 47 + 553 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464755351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45436 + ... + 54716.

It is an arithmetic number, because the mean of its divisors is an integer number (17737902).

Almost surely, 2^464755356 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 464755356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638564472).

464755356 is an abundant number, since it is smaller than the sum of its proper divisors (812373588).

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

464755356 is a wasteful number, since it uses less digits than its factorization.

464755356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9411 (or 9406 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 464755356 is about 21558.1853596262. The cubic root of 464755356 is about 774.5951994915.

The spelling of 464755356 in words is "four hundred sixty-four million, seven hundred fifty-five thousand, three hundred fifty-six".