468154400 has 144 divisors (see below), whose sum is σ = 1338664320. Its totient is φ = 156518400.

The previous prime is 468154391. The next prime is 468154409. The reversal of 468154400 is 4451864.

It is an interprime number because it is at equal distance from previous prime (468154391) and next prime (468154409).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (468154409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228581 + ... + 230619.

It is an arithmetic number, because the mean of its divisors is an integer number (9296280).

Almost surely, 2^468154400 is an apocalyptic number.

468154400 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 468154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

468154400 is an abundant number, since it is smaller than the sum of its proper divisors (870509920).

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

468154400 is a wasteful number, since it uses less digits than its factorization.

468154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 468154400 is about 21636.8759297640. The cubic root of 468154400 is about 776.4789794552.

It can be divided in two parts, 46815 and 4400, that added together give a palindrome (51215).

The spelling of 468154400 in words is "four hundred sixty-eight million, one hundred fifty-four thousand, four hundred".