468393390 has 96 divisors (see below), whose sum is σ = 1289074176. Its totient is φ = 117754560.

The previous prime is 468393361. The next prime is 468393391. The reversal of 468393390 is 93393864.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468393391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145377 + ... + 148563.

It is an arithmetic number, because the mean of its divisors is an integer number (13427856).

Almost surely, 2^468393390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468393390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644537088).

468393390 is an abundant number, since it is smaller than the sum of its proper divisors (820680786).

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

468393390 is a wasteful number, since it uses less digits than its factorization.

468393390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 468393390 is about 21642.3979724983. The cubic root of 468393390 is about 776.6110862578.

The spelling of 468393390 in words is "four hundred sixty-eight million, three hundred ninety-three thousand, three hundred ninety".