468095760 has 360 divisors, whose sum is σ = 1800926400. Its totient is φ = 112907520.

The previous prime is 468095737. The next prime is 468095773. The reversal of 468095760 is 67590864.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×468095760² = 438227281059955200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2352141 + ... + 2352339.

Almost surely, 2^468095760 is an apocalyptic number.

468095760 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 468095760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900463200).

468095760 is an abundant number, since it is smaller than the sum of its proper divisors (1332830640).

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

468095760 is a wasteful number, since it uses less digits than its factorization.

468095760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 468095760 is about 21635.5207933620. The cubic root of 468095760 is about 776.4465580799.

The spelling of 468095760 in words is "four hundred sixty-eight million, ninety-five thousand, seven hundred sixty".