468453744 has 120 divisors (see below), whose sum is σ = 1469041392. Its totient is φ = 138101760.

The previous prime is 468453737. The next prime is 468453757. The reversal of 468453744 is 447354864.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 468453744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54612 + ... + 62604.

Almost surely, 2^468453744 is an apocalyptic number.

468453744 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 468453744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734520696).

468453744 is an abundant number, since it is smaller than the sum of its proper divisors (1000587648).

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

468453744 is a wasteful number, since it uses less digits than its factorization.

468453744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055 (or 8046 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 468453744 is about 21643.7922739986. The cubic root of 468453744 is about 776.6444411068.

The spelling of 468453744 in words is "four hundred sixty-eight million, four hundred fifty-three thousand, seven hundred forty-four".