467382240 has 144 divisors (see below), whose sum is σ = 1717698528. Its totient is φ = 115043328.

The previous prime is 467382239. The next prime is 467382269. The reversal of 467382240 is 42283764.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 467382195 and 467382204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6237 + ... + 31203.

It is an arithmetic number, because the mean of its divisors is an integer number (11928462).

Almost surely, 2^467382240 is an apocalyptic number.

467382240 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 467382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858849264).

467382240 is an abundant number, since it is smaller than the sum of its proper divisors (1250316288).

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

467382240 is a wasteful number, since it uses less digits than its factorization.

467382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001 (or 24990 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 467382240 is about 21619.0249548864. The cubic root of 467382240 is about 776.0518440581.

The spelling of 467382240 in words is "four hundred sixty-seven million, three hundred eighty-two thousand, two hundred forty".