464352253464 has 256 divisors, whose sum is σ = 1318557035520. Its totient is φ = 135072000000.

The previous prime is 464352253433. The next prime is 464352253489.

464352253464 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 115479774 + ... + 115483794.

It is an arithmetic number, because the mean of its divisors is an integer number (5150613420).

Almost surely, 2^464352253464 is an apocalyptic number.

464352253464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464352253464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659278517760).

464352253464 is an abundant number, since it is smaller than the sum of its proper divisors (854204782056).

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

464352253464 is a wasteful number, since it uses less digits than its factorization.

464352253464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4270 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 464352253464 in words is "four hundred sixty-four billion, three hundred fifty-two million, two hundred fifty-three thousand, four hundred sixty-four".