467005440 has 208 divisors, whose sum is σ = 1632433536. Its totient is φ = 113049600.

The previous prime is 467005423. The next prime is 467005481. The reversal of 467005440 is 44500764.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 467005398 and 467005407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675495 + ... + 676185.

Almost surely, 2^467005440 is an apocalyptic number.

467005440 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 467005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816216768).

467005440 is an abundant number, since it is smaller than the sum of its proper divisors (1165428096).

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

467005440 is a wasteful number, since it uses less digits than its factorization.

467005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 467005440 is about 21610.3086511970. The cubic root of 467005440 is about 775.8432389620.

The spelling of 467005440 in words is "four hundred sixty-seven million, five thousand, four hundred forty".