468249496 has 64 divisors (see below), whose sum is σ = 1092178080. Its totient is φ = 184903680.

The previous prime is 468249493. The next prime is 468249499. The reversal of 468249496 is 694942864.

It is an interprime number because it is at equal distance from previous prime (468249493) and next prime (468249499).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468249493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7410 + ... + 31486.

Almost surely, 2^468249496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468249496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546089040).

468249496 is an abundant number, since it is smaller than the sum of its proper divisors (623928584).

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

468249496 is a wasteful number, since it uses less digits than its factorization.

468249496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24124 (or 24120 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The square root of 468249496 is about 21639.0733627852. The cubic root of 468249496 is about 776.5315511751.

The spelling of 468249496 in words is "four hundred sixty-eight million, two hundred forty-nine thousand, four hundred ninety-six".