467401000 has 64 divisors (see below), whose sum is σ = 1193175360. Its totient is φ = 169960000.

The previous prime is 467400959. The next prime is 467401001. The reversal of 467401000 is 104764.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (467401001) 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, 10246 + ... + 32245.

It is an arithmetic number, because the mean of its divisors is an integer number (18643365).

Almost surely, 2^467401000 is an apocalyptic number.

467401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467401000 is an abundant number, since it is smaller than the sum of its proper divisors (725774360).

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

467401000 is a wasteful number, since it uses less digits than its factorization.

467401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42523 (or 42509 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 467401000 is about 21619.4588276395. The cubic root of 467401000 is about 776.0622270927.

Adding to 467401000 its reverse (104764), we get a palindrome (467505764).

The spelling of 467401000 in words is "four hundred sixty-seven million, four hundred one thousand".