464262769152 has 960 divisors, whose sum is σ = 1798137411840. Its totient is φ = 115150159872.

The previous prime is 464262769151. The next prime is 464262769171. The reversal of 464262769152 is 251967262464.

464262769152 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 627 + 6 + 9 + 1 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (464262769151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363556738 + ... + 363558014.

It is an arithmetic number, because the mean of its divisors is an integer number (1873059804).

Almost surely, 2^464262769152 is an apocalyptic number.

464262769152 is a gapful number since it is divisible by the number (42) 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 464262769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899068705920).

464262769152 is an abundant number, since it is smaller than the sum of its proper divisors (1333874642688).

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

464262769152 is a wasteful number, since it uses less digits than its factorization.

464262769152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1319 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 464262769152 in words is "four hundred sixty-four billion, two hundred sixty-two million, seven hundred sixty-nine thousand, one hundred fifty-two".