468778752 has 360 divisors, whose sum is σ = 1578916416. Its totient is φ = 137355264.

The previous prime is 468778729. The next prime is 468778759. The reversal of 468778752 is 257877864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468778759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9973993 + ... + 9974039.

Almost surely, 2^468778752 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 468778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789458208).

468778752 is an abundant number, since it is smaller than the sum of its proper divisors (1110137664).

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

468778752 is a wasteful number, since it uses less digits than its factorization.

468778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 468778752 is about 21651.2990834268. The cubic root of 468778752 is about 776.8240086791.

The spelling of 468778752 in words is "four hundred sixty-eight million, seven hundred seventy-eight thousand, seven hundred fifty-two".