467497879800 has 384 divisors, whose sum is σ = 1696562841600. Its totient is φ = 104271298560.

The previous prime is 467497879781. The next prime is 467497879829. The reversal of 467497879800 is 8978794764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69678846 + ... + 69685554.

It is an arithmetic number, because the mean of its divisors is an integer number (4418132400).

Almost surely, 2^467497879800 is an apocalyptic number.

467497879800 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 467497879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848281420800).

467497879800 is an abundant number, since it is smaller than the sum of its proper divisors (1229064961800).

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

467497879800 is a wasteful number, since it uses less digits than its factorization.

467497879800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 467497879800 in words is "four hundred sixty-seven billion, four hundred ninety-seven million, eight hundred seventy-nine thousand, eight hundred".