467971800 has 96 divisors (see below), whose sum is σ = 1513831680. Its totient is φ = 119363200.

The previous prime is 467971787. The next prime is 467971813. The reversal of 467971800 is 8179764.

It is an interprime number because it is at equal distance from previous prime (467971787) and next prime (467971813).

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 23 ways as a sum of consecutive naturals, for example, 3156 + ... + 30755.

It is an arithmetic number, because the mean of its divisors is an integer number (15769080).

Almost surely, 2^467971800 is an apocalyptic number.

467971800 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 467971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756915840).

467971800 is an abundant number, since it is smaller than the sum of its proper divisors (1045859880).

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

467971800 is a wasteful number, since it uses less digits than its factorization.

467971800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33953 (or 33944 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 467971800 is about 21632.6558702347. The cubic root of 467971800 is about 776.3780131218.

The spelling of 467971800 in words is "four hundred sixty-seven million, nine hundred seventy-one thousand, eight hundred".