467520040 has 64 divisors (see below), whose sum is σ = 1136540160. Its totient is φ = 172058880.

The previous prime is 467520013. The next prime is 467520041. The reversal of 467520040 is 40025764.

It is a junction number, because it is equal to n+sod(n) for n = 467519990 and 467520008.

It is not an unprimeable number, because it can be changed into a prime (467520041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179145 + ... + 181735.

It is an arithmetic number, because the mean of its divisors is an integer number (17758440).

Almost surely, 2^467520040 is an apocalyptic number.

467520040 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 467520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568270080).

467520040 is an abundant number, since it is smaller than the sum of its proper divisors (669020120).

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

467520040 is a wasteful number, since it uses less digits than its factorization.

467520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 467520040 is about 21622.2117277581. The cubic root of 467520040 is about 776.1281052899.

The spelling of 467520040 in words is "four hundred sixty-seven million, five hundred twenty thousand, forty".