468714960 has 240 divisors, whose sum is σ = 1817097984. Its totient is φ = 106057728.

The previous prime is 468714959. The next prime is 468714991. The reversal of 468714960 is 69417864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569109 + ... + 569931.

Almost surely, 2^468714960 is an apocalyptic number.

468714960 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 468714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908548992).

468714960 is an abundant number, since it is smaller than the sum of its proper divisors (1348383024).

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

468714960 is a wasteful number, since it uses less digits than its factorization.

468714960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 468714960 is about 21649.8258653505. The cubic root of 468714960 is about 776.7887700191.

The spelling of 468714960 in words is "four hundred sixty-eight million, seven hundred fourteen thousand, nine hundred sixty".