468095040 has 504 divisors, whose sum is σ = 1951402752. Its totient is φ = 102574080.

The previous prime is 468095021. The next prime is 468095129. The reversal of 468095040 is 40590864.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×468095040³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 468094986 and 468095004.

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, 4374667 + ... + 4374773.

Almost surely, 2^468095040 is an apocalyptic number.

468095040 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 468095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975701376).

468095040 is an abundant number, since it is smaller than the sum of its proper divisors (1483307712).

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

468095040 is a wasteful number, since it uses less digits than its factorization.

468095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 468095040 is about 21635.5041540520. The cubic root of 468095040 is about 776.4461599834.

The spelling of 468095040 in words is "four hundred sixty-eight million, ninety-five thousand, forty".