468053700 has 144 divisors (see below), whose sum is σ = 1405118400. Its totient is φ = 120199680.

The previous prime is 468053693. The next prime is 468053701. The reversal of 468053700 is 7350864.

It is not an unprimeable number, because it can be changed into a prime (468053701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653759 + ... + 1654041.

Almost surely, 2^468053700 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 468053700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702559200).

468053700 is an abundant number, since it is smaller than the sum of its proper divisors (937064700).

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

468053700 is a wasteful number, since it uses less digits than its factorization.

468053700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 468053700 is about 21634.5487588718. The cubic root of 468053700 is about 776.4233019265.

It can be divided in two parts, 46805 and 3700, that added together give a palindrome (50505).

The spelling of 468053700 in words is "four hundred sixty-eight million, fifty-three thousand, seven hundred".