464562265464 has 256 divisors, whose sum is σ = 1470379392000. Its totient is φ = 134526712320.

The previous prime is 464562265457. The next prime is 464562265481.

464562265464 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 622 + 6 + 5 + 4 + 6 + 4 = 666.

464562265464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 464562265464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67158934 + ... + 67165850.

It is an arithmetic number, because the mean of its divisors is an integer number (5743669500).

Almost surely, 2^464562265464 is an apocalyptic number.

464562265464 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 464562265464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735189696000).

464562265464 is an abundant number, since it is smaller than the sum of its proper divisors (1005817126536).

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

464562265464 is a wasteful number, since it uses less digits than its factorization.

464562265464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8185 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 464562265464 in words is "four hundred sixty-four billion, five hundred sixty-two million, two hundred sixty-five thousand, four hundred sixty-four".