468455400 has 480 divisors, whose sum is σ = 1976927040. Its totient is φ = 100776960.

The previous prime is 468455359. The next prime is 468455401. The reversal of 468455400 is 4554864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (468455401) 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 119 ways as a sum of consecutive naturals, for example, 27556192 + ... + 27556208.

It is an arithmetic number, because the mean of its divisors is an integer number (4118598).

Almost surely, 2^468455400 is an apocalyptic number.

468455400 is a gapful number since it is divisible by the number (40) 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 468455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988463520).

468455400 is an abundant number, since it is smaller than the sum of its proper divisors (1508471640).

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

468455400 is an equidigital number, since it uses as much as digits as its factorization.

468455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 468455400 is about 21643.8305297376. The cubic root of 468455400 is about 776.6453562606.

The spelling of 468455400 in words is "four hundred sixty-eight million, four hundred fifty-five thousand, four hundred".