468047700 has 144 divisors (see below), whose sum is σ = 1570316160. Its totient is φ = 119370240.

The previous prime is 468047683. The next prime is 468047711. The reversal of 468047700 is 7740864.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58332 + ... + 65868.

Almost surely, 2^468047700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468047700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785158080).

468047700 is an abundant number, since it is smaller than the sum of its proper divisors (1102268460).

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

468047700 is a wasteful number, since it uses less digits than its factorization.

468047700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 468047700 is about 21634.4100913337. The cubic root of 468047700 is about 776.4199842447.

The spelling of 468047700 in words is "four hundred sixty-eight million, forty-seven thousand, seven hundred".