468714792 has 384 divisors, whose sum is σ = 1617960960. Its totient is φ = 111767040.

The previous prime is 468714731. The next prime is 468714793. The reversal of 468714792 is 297417864.

It is not an unprimeable number, because it can be changed into a prime (468714793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10900323 + ... + 10900365.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2^468714792 is an apocalyptic number.

468714792 is a gapful number since it is divisible by the number (42) 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 468714792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808980480).

468714792 is an abundant number, since it is smaller than the sum of its proper divisors (1149246168).

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

468714792 is a wasteful number, since it uses less digits than its factorization.

468714792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 468714792 is about 21649.8219854113. The cubic root of 468714792 is about 776.7886772118.

The spelling of 468714792 in words is "four hundred sixty-eight million, seven hundred fourteen thousand, seven hundred ninety-two".