467616240 has 600 divisors, whose sum is σ = 2042824608. Its totient is φ = 97044480.

The previous prime is 467616223. The next prime is 467616269. The reversal of 467616240 is 42616764.

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 = 467616195 and 467616204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7665810 + ... + 7665870.

Almost surely, 2^467616240 is an apocalyptic number.

467616240 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 467616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021412304).

467616240 is an abundant number, since it is smaller than the sum of its proper divisors (1575208368).

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

467616240 is a wasteful number, since it uses less digits than its factorization.

467616240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 467616240 is about 21624.4361776209. The cubic root of 467616240 is about 776.1813353812.

It can be divided in two parts, 467616 and 240, that added together give a square (467856 = 684²).

The spelling of 467616240 in words is "four hundred sixty-seven million, six hundred sixteen thousand, two hundred forty".