467785040 has 160 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 169044480.

The previous prime is 467785001. The next prime is 467785057. The reversal of 467785040 is 40587764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3365291 + ... + 3365429.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^467785040 is an apocalyptic number.

467785040 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 467785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

467785040 is an abundant number, since it is smaller than the sum of its proper divisors (732138160).

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

467785040 is a wasteful number, since it uses less digits than its factorization.

467785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 467785040 is about 21628.3388173942. The cubic root of 467785040 is about 776.2747193973.

The spelling of 467785040 in words is "four hundred sixty-seven million, seven hundred eighty-five thousand, forty".