468213504 has 144 divisors (see below), whose sum is σ = 1431454080. Its totient is φ = 134369280.

The previous prime is 468213479. The next prime is 468213509. The reversal of 468213504 is 405312864.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468213509) 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, 159054 + ... + 161970.

Almost surely, 2^468213504 is an apocalyptic number.

468213504 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 468213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715727040).

468213504 is an abundant number, since it is smaller than the sum of its proper divisors (963240576).

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

468213504 is a wasteful number, since it uses less digits than its factorization.

468213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 468213504 is about 21638.2417030590. The cubic root of 468213504 is about 776.5116546313.

The spelling of 468213504 in words is "four hundred sixty-eight million, two hundred thirteen thousand, five hundred four".