464982252 has 48 divisors (see below), whose sum is σ = 1246291200. Its totient is φ = 132172992.

The previous prime is 464982251. The next prime is 464982289. The reversal of 464982252 is 252289464.

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

It is not an unprimeable number, because it can be changed into a prime (464982251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499 + ... + 30597.

It is an arithmetic number, because the mean of its divisors is an integer number (25964400).

Almost surely, 2^464982252 is an apocalyptic number.

464982252 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 464982252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623145600).

464982252 is an abundant number, since it is smaller than the sum of its proper divisors (781308948).

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

464982252 is a wasteful number, since it uses less digits than its factorization.

464982252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28310 (or 28308 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 464982252 is about 21563.4471270249. The cubic root of 464982252 is about 774.7212327954.

The spelling of 464982252 in words is "four hundred sixty-four million, nine hundred eighty-two thousand, two hundred fifty-two".