466125264 has 120 divisors (see below), whose sum is σ = 1437413952. Its totient is φ = 139829760.

The previous prime is 466125263. The next prime is 466125287. The reversal of 466125264 is 462521664.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466125263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161724 + ... + 164580.

Almost surely, 2^466125264 is an apocalyptic number.

466125264 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 466125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718706976).

466125264 is an abundant number, since it is smaller than the sum of its proper divisors (971288688).

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

466125264 is a wasteful number, since it uses less digits than its factorization.

466125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2976 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 466125264 is about 21589.9343213452. The cubic root of 466125264 is about 775.3555158348.

The spelling of 466125264 in words is "four hundred sixty-six million, one hundred twenty-five thousand, two hundred sixty-four".