466273752 has 128 divisors (see below), whose sum is σ = 1367055360. Its totient is φ = 129784320.

The previous prime is 466273751. The next prime is 466273763. The reversal of 466273752 is 257372664.

It is a super-2 number, since 2×466273752² = 434822423608315008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466273751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772773 + ... + 1773035.

It is an arithmetic number, because the mean of its divisors is an integer number (10680120).

Almost surely, 2^466273752 is an apocalyptic number.

466273752 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 466273752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683527680).

466273752 is an abundant number, since it is smaller than the sum of its proper divisors (900781608).

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

466273752 is a wasteful number, since it uses less digits than its factorization.

466273752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 466273752 is about 21593.3728722495. The cubic root of 466273752 is about 775.4378390324.

The spelling of 466273752 in words is "four hundred sixty-six million, two hundred seventy-three thousand, seven hundred fifty-two".