468750000 has 110 divisors (see below), whose sum is σ = 1513671844. Its totient is φ = 125000000.

The previous prime is 468749951. The next prime is 468750001. The reversal of 468750000 is 57864.

It is a happy number.

468750000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 468750000.

It is not an unprimeable number, because it can be changed into a prime (468750001) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 93749998 + ... + 93750002.

Almost surely, 2^468750000 is an apocalyptic number.

468750000 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 468750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756835922).

468750000 is an abundant number, since it is smaller than the sum of its proper divisors (1044921844).

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

468750000 is an frugal number, since it uses more digits than its factorization.

468750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 468750000 is about 21650.6350946110. The cubic root of 468750000 is about 776.8081264885.

468750000 divided by its sum of digits (30) gives a cube (15625000 = 250³).

The spelling of 468750000 in words is "four hundred sixty-eight million, seven hundred fifty thousand".